{"id":664804,"date":"2026-06-29T19:00:13","date_gmt":"2026-06-29T19:00:13","guid":{"rendered":"https:\/\/www.newsbeep.com\/uk\/664804\/"},"modified":"2026-06-29T19:00:13","modified_gmt":"2026-06-29T19:00:13","slug":"an-integrated-theoretical-and-numerical-approach-to-understand-modern-experiments-on-quantum-magnetism","status":"publish","type":"post","link":"https:\/\/www.newsbeep.com\/uk\/664804\/","title":{"rendered":"An integrated theoretical and numerical approach to understand modern experiments on quantum magnetism"},"content":{"rendered":"<p class=\"c-article-references__text\" id=\"ref-CR1\">Haldane, F. D. M. \u2018Luttinger liquid theory\u2019 of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas. J. Phys. C 14, 2585\u20132610 (1981).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/0022-3719\/14\/19\/010\" data-track-item_id=\"10.1088\/0022-3719\/14\/19\/010\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F0022-3719%2F14%2F19%2F010\" aria-label=\"Article reference 1\" data-doi=\"10.1088\/0022-3719\/14\/19\/010\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1981JPhC...14.2585H\" aria-label=\"ADS reference 1\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 1\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=%E2%80%98Luttinger%20liquid%20theory%E2%80%99%20of%20one-dimensional%20quantum%20fluids.%20I.%20Properties%20of%20the%20Luttinger%20model%20and%20their%20extension%20to%20the%20general%201D%20interacting%20spinless%20Fermi%20gas&amp;journal=J.%20Phys.%20C&amp;doi=10.1088%2F0022-3719%2F14%2F19%2F010&amp;volume=14&amp;pages=2585-2610&amp;publication_year=1981&amp;author=Haldane%2CFDM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR2\">Lake, B., Tennant, D. A., Frost, C. D. &amp; Nagler, S. E. Quantum criticality and universal scaling of a quantum antiferromagnet. Nat. Mater. 4, 329\u2013334 (2005).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/nmat1327\" data-track-item_id=\"10.1038\/nmat1327\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fnmat1327\" aria-label=\"Article reference 2\" data-doi=\"10.1038\/nmat1327\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 2\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quantum%20criticality%20and%20universal%20scaling%20of%20a%20quantum%20antiferromagnet&amp;journal=Nat.%20Mater.&amp;doi=10.1038%2Fnmat1327&amp;volume=4&amp;pages=329-334&amp;publication_year=2005&amp;author=Lake%2CB&amp;author=Tennant%2CDA&amp;author=Frost%2CCD&amp;author=Nagler%2CSE\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR3\">Coldea, R. et al. Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry. Science 327, 177\u2013180 (2010).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/science.1180085\" data-track-item_id=\"10.1126\/science.1180085\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fscience.1180085\" aria-label=\"Article reference 3\" data-doi=\"10.1126\/science.1180085\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2010Sci...327..177C\" aria-label=\"ADS reference 3\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 3\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quantum%20criticality%20in%20an%20Ising%20chain%3A%20experimental%20evidence%20for%20emergent%20E8%20symmetry&amp;journal=Science&amp;doi=10.1126%2Fscience.1180085&amp;volume=327&amp;pages=177-180&amp;publication_year=2010&amp;author=Coldea%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR4\">Lake, B., Tennant, D. A., Frost, C. D. &amp; Nagler, S. E. Quantum criticality and universal scaling of a quantum antiferromagnet. Phys. Rev. Lett. 111, 137205 (2013).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.111.137205\" data-track-item_id=\"10.1103\/PhysRevLett.111.137205\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.111.137205\" aria-label=\"Article reference 4\" data-doi=\"10.1103\/PhysRevLett.111.137205\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2013PhRvL.111m7205L\" aria-label=\"ADS reference 4\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 4\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quantum%20criticality%20and%20universal%20scaling%20of%20a%20quantum%20antiferromagnet&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.111.137205&amp;volume=111&amp;publication_year=2013&amp;author=Lake%2CB&amp;author=Tennant%2CDA&amp;author=Frost%2CCD&amp;author=Nagler%2CSE\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR5\">Mourigal, M. et al. Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain. Nat. Phys. 9, 435\u2013441 (2013).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/nphys2652\" data-track-item_id=\"10.1038\/nphys2652\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fnphys2652\" aria-label=\"Article reference 5\" data-doi=\"10.1038\/nphys2652\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 5\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Fractional%20spinon%20excitations%20in%20the%20quantum%20Heisenberg%20antiferromagnetic%20chain&amp;journal=Nat.%20Phys.&amp;doi=10.1038%2Fnphys2652&amp;volume=9&amp;pages=435-441&amp;publication_year=2013&amp;author=Mourigal%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR6\">Shao, H. et al. Nearly deconfined spinon excitations in the square-lattice spin-1\/2 Heisenberg antiferromagnet. Phys. Rev. X 7, 041072 (2017).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 6\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Nearly%20deconfined%20spinon%20excitations%20in%20the%20square-lattice%20spin-1%2F2%20Heisenberg%20antiferromagnet&amp;journal=Phys.%20Rev.%20X&amp;volume=7&amp;publication_year=2017&amp;author=Shao%2CH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR7\">Haegeman, J., Lubich, C., Oseledets, I., Vandereycken, B. &amp; Verstraete, F. Unifying time evolution and optimization with matrix product states. Phys. Rev. B 94, 165116 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.94.165116\" data-track-item_id=\"10.1103\/PhysRevB.94.165116\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.94.165116\" aria-label=\"Article reference 7\" data-doi=\"10.1103\/PhysRevB.94.165116\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2016PhRvB..94p5116H\" aria-label=\"ADS reference 7\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 7\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Unifying%20time%20evolution%20and%20optimization%20with%20matrix%20product%20states&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.94.165116&amp;volume=94&amp;publication_year=2016&amp;author=Haegeman%2CJ&amp;author=Lubich%2CC&amp;author=Oseledets%2CI&amp;author=Vandereycken%2CB&amp;author=Verstraete%2CF\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR8\">Savary, L. &amp; Balents, L. Quantum spin liquids: a review. Rep. Prog. Phys. 80, 016502 (2017).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/0034-4885\/80\/1\/016502\" data-track-item_id=\"10.1088\/0034-4885\/80\/1\/016502\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F0034-4885%2F80%2F1%2F016502\" aria-label=\"Article reference 8\" data-doi=\"10.1088\/0034-4885\/80\/1\/016502\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2017RPPh...80a6502S\" aria-label=\"ADS reference 8\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 8\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quantum%20spin%20liquids%3A%20a%20review&amp;journal=Rep.%20Prog.%20Phys.&amp;doi=10.1088%2F0034-4885%2F80%2F1%2F016502&amp;volume=80&amp;publication_year=2017&amp;author=Savary%2CL&amp;author=Balents%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR9\">Knolle, J. &amp; Moessner, R. A field guide to spin liquids. Annu. Rev. Condens. Matter Phys. 10, 451\u2013472 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1146\/annurev-conmatphys-031218-013401\" data-track-item_id=\"10.1146\/annurev-conmatphys-031218-013401\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1146%2Fannurev-conmatphys-031218-013401\" aria-label=\"Article reference 9\" data-doi=\"10.1146\/annurev-conmatphys-031218-013401\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2019ARCMP..10..451K\" aria-label=\"ADS reference 9\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 9\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=A%20field%20guide%20to%20spin%20liquids&amp;journal=Annu.%20Rev.%20Condens.%20Matter%20Phys.&amp;doi=10.1146%2Fannurev-conmatphys-031218-013401&amp;volume=10&amp;pages=451-472&amp;publication_year=2019&amp;author=Knolle%2CJ&amp;author=Moessner%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR10\">Villanova, J. W., Scheie, A. O., Tennant, D. A., Okamoto, S. &amp; Berlijn, T. First-principles derivation of magnetic interactions in the triangular quantum spin liquid candidates KYbCh2 (Ch = S, Se, Te) and AYbSe2 (A = Na, Rb). Phys. Rev. Res. 5, 033050 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevResearch.5.033050\" data-track-item_id=\"10.1103\/PhysRevResearch.5.033050\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevResearch.5.033050\" aria-label=\"Article reference 10\" data-doi=\"10.1103\/PhysRevResearch.5.033050\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 10\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=First-principles%20derivation%20of%20magnetic%20interactions%20in%20the%20triangular%20quantum%20spin%20liquid%20candidates%20KYbCh2%20%28Ch%20%3D%20S%2C%20Se%2C%20Te%29%20and%20AYbSe2%20%28A%20%3D%20Na%2C%20Rb%29&amp;journal=Phys.%20Rev.%20Res.&amp;doi=10.1103%2FPhysRevResearch.5.033050&amp;volume=5&amp;publication_year=2023&amp;author=Villanova%2CJW&amp;author=Scheie%2CAO&amp;author=Tennant%2CDA&amp;author=Okamoto%2CS&amp;author=Berlijn%2CT\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR11\">Liu, J. et al. Gapless spin liquid behavior in a kagome Heisenberg antiferromagnet with randomly distributed hexagons of alternate bonds. Phys. Rev. B 105, 024418 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.105.024418\" data-track-item_id=\"10.1103\/PhysRevB.105.024418\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.105.024418\" aria-label=\"Article reference 11\" data-doi=\"10.1103\/PhysRevB.105.024418\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2022PhRvB.105b4418L\" aria-label=\"ADS reference 11\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 11\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Gapless%20spin%20liquid%20behavior%20in%20a%20kagome%20Heisenberg%20antiferromagnet%20with%20randomly%20distributed%20hexagons%20of%20alternate%20bonds&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.105.024418&amp;volume=105&amp;publication_year=2022&amp;author=Liu%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR12\">Hering, M. et al. Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite. npj Comput. Mater. 8, 10 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41524-021-00689-0\" data-track-item_id=\"10.1038\/s41524-021-00689-0\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41524-021-00689-0\" aria-label=\"Article reference 12\" data-doi=\"10.1038\/s41524-021-00689-0\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 12\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Phase%20diagram%20of%20a%20distorted%20kagome%20antiferromagnet%20and%20application%20to%20Y-kapellasite&amp;journal=npj%20Comput.%20Mater.&amp;doi=10.1038%2Fs41524-021-00689-0&amp;volume=8&amp;publication_year=2022&amp;author=Hering%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR13\">Li, H. et al. Kosterlitz\u2013Thouless melting of magnetic order in the triangular quantum Ising material TmMgGaO4. Nat. Commun. 11, 1111 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-020-14907-8\" data-track-item_id=\"10.1038\/s41467-020-14907-8\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-020-14907-8\" aria-label=\"Article reference 13\" data-doi=\"10.1038\/s41467-020-14907-8\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2020NatCo..11.1111L\" aria-label=\"ADS reference 13\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 13\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Kosterlitz%E2%80%93Thouless%20melting%20of%20magnetic%20order%20in%20the%20triangular%20quantum%20Ising%20material%20TmMgGaO4&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-020-14907-8&amp;volume=11&amp;publication_year=2020&amp;author=Li%2CH\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR14\">Cevallos, F. A., Stolze, K., Kong, T. &amp; Cava, R. Anisotropic magnetic properties of the triangular plane lattice material TmMgGaO4. Mater. Res. Bull. 105, 154\u2013158 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.materresbull.2018.04.042\" data-track-item_id=\"10.1016\/j.materresbull.2018.04.042\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.materresbull.2018.04.042\" aria-label=\"Article reference 14\" data-doi=\"10.1016\/j.materresbull.2018.04.042\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 14\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Anisotropic%20magnetic%20properties%20of%20the%20triangular%20plane%20lattice%20material%20TmMgGaO4&amp;journal=Mater.%20Res.%20Bull.&amp;doi=10.1016%2Fj.materresbull.2018.04.042&amp;volume=105&amp;pages=154-158&amp;publication_year=2018&amp;author=Cevallos%2CFA&amp;author=Stolze%2CK&amp;author=Kong%2CT&amp;author=Cava%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR15\">Li, Y. et al. Partial up\u2013up\u2013down order with the continuously distributed order parameter in the triangular antiferromagnet TmMgGaO4. Phys. Rev. X 10, 011007 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2020hsm2.book.....L\" aria-label=\"ADS reference 15\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 15\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Partial%20up%E2%80%93up%E2%80%93down%20order%20with%20the%20continuously%20distributed%20order%20parameter%20in%20the%20triangular%20antiferromagnet%20TmMgGaO4&amp;journal=Phys.%20Rev.%20X&amp;volume=10&amp;publication_year=2020&amp;author=Li%2CY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR16\">Isakov, S. V. &amp; Moessner, R. Interplay of quantum and thermal fluctuations in a frustrated magnet. Phys. Rev. B 68, 104409 (2003).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.68.104409\" data-track-item_id=\"10.1103\/PhysRevB.68.104409\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.68.104409\" aria-label=\"Article reference 16\" data-doi=\"10.1103\/PhysRevB.68.104409\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2003PhRvB..68j4409I\" aria-label=\"ADS reference 16\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 16\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Interplay%20of%20quantum%20and%20thermal%20fluctuations%20in%20a%20frustrated%20magnet&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.68.104409&amp;volume=68&amp;publication_year=2003&amp;author=Isakov%2CSV&amp;author=Moessner%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR17\">Da Liao, Y. et al. Phase diagram of the quantum Ising model on a triangular lattice under external field. Phys. Rev. B 103, 104416 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.103.104416\" data-track-item_id=\"10.1103\/PhysRevB.103.104416\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.103.104416\" aria-label=\"Article reference 17\" data-doi=\"10.1103\/PhysRevB.103.104416\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2021PhRvB.103j4421L\" aria-label=\"ADS reference 17\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 17\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Phase%20diagram%20of%20the%20quantum%20Ising%20model%20on%20a%20triangular%20lattice%20under%20external%20field&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.103.104416&amp;volume=103&amp;publication_year=2021&amp;author=Liao%2CY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR18\">Shen, Y. et al. Intertwined dipolar and multipolar order in the triangular-lattice magnet TmMgGaO4. Nat. Commun. 10, 4530 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-019-12410-3\" data-track-item_id=\"10.1038\/s41467-019-12410-3\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-019-12410-3\" aria-label=\"Article reference 18\" data-doi=\"10.1038\/s41467-019-12410-3\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2019NatCo..10.4530S\" aria-label=\"ADS reference 18\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 18\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Intertwined%20dipolar%20and%20multipolar%20order%20in%20the%20triangular-lattice%20magnet%20TmMgGaO4&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-019-12410-3&amp;volume=10&amp;publication_year=2019&amp;author=Shen%2CY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR19\">Hu, Z. et al. Evidence of the Berezinskii\u2013Kosterlitz\u2013Thouless phase in a frustrated magnet. Nat. Commun. 11, 5631 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-020-19380-x\" data-track-item_id=\"10.1038\/s41467-020-19380-x\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-020-19380-x\" aria-label=\"Article reference 19\" data-doi=\"10.1038\/s41467-020-19380-x\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2020NatCo..11.5631H\" aria-label=\"ADS reference 19\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 19\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Evidence%20of%20the%20Berezinskii%E2%80%93Kosterlitz%E2%80%93Thouless%20phase%20in%20a%20frustrated%20magnet&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-020-19380-x&amp;volume=11&amp;publication_year=2020&amp;author=Hu%2CZ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR20\">Anderson, P. Resonating valence bonds: a new kind of insulator?. Mater. Res. Bull. 8, 153\u2013160 (1973).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/0025-5408(73)90167-0\" data-track-item_id=\"10.1016\/0025-5408(73)90167-0\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2F0025-5408%2873%2990167-0\" aria-label=\"Article reference 20\" data-doi=\"10.1016\/0025-5408(73)90167-0\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 20\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Resonating%20valence%20bonds%3A%20a%20new%20kind%20of%20insulator%3F&amp;journal=Mater.%20Res.%20Bull.&amp;doi=10.1016%2F0025-5408%2873%2990167-0&amp;volume=8&amp;pages=153-160&amp;publication_year=1973&amp;author=Anderson%2CP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR21\">Zheng, W., Fj\u00e6restad, J. O., Singh, R. R. P., McKenzie, R. H. &amp; Coldea, R. Excitation spectra of the spin-\u00bd triangular-lattice Heisenberg antiferromagnet. Phys. Rev. B 74, 224420 (2006).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.74.224420\" data-track-item_id=\"10.1103\/PhysRevB.74.224420\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.74.224420\" aria-label=\"Article reference 21\" data-doi=\"10.1103\/PhysRevB.74.224420\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2006PhRvB..74v4420Z\" aria-label=\"ADS reference 21\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 21\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Excitation%20spectra%20of%20the%20spin-%C2%BD%20triangular-lattice%20Heisenberg%20antiferromagnet&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.74.224420&amp;volume=74&amp;publication_year=2006&amp;author=Zheng%2CW&amp;author=Fj%C3%A6restad%2CJO&amp;author=Singh%2CRRP&amp;author=McKenzie%2CRH&amp;author=Coldea%2CR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR22\">Huse, D. A. &amp; Elser, V. Simple variational wave functions for two-dimensional Heisenberg spin-s\u2009=\u2009\u00bd J1\u2013J2 antiferromagnets. Phys. Rev. Lett. 60, 2531\u20132534 (1988).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.60.2531\" data-track-item_id=\"10.1103\/PhysRevLett.60.2531\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.60.2531\" aria-label=\"Article reference 22\" data-doi=\"10.1103\/PhysRevLett.60.2531\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1988PhRvL..60.2531H\" aria-label=\"ADS reference 22\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 22\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Simple%20variational%20wave%20functions%20for%20two-dimensional%20Heisenberg%20spin-s%E2%80%89%3D%E2%80%89%C2%BD%20J1%E2%80%93J2%20antiferromagnets&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.60.2531&amp;volume=60&amp;pages=2531-2534&amp;publication_year=1988&amp;author=Huse%2CDA&amp;author=Elser%2CV\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR23\">Bernu, B., Lhuillier, C. &amp; Pierre, L. Signature of N\u00e9el order in exact spectra of quantum antiferromagnets on finite lattices. Phys. Rev. Lett. 69, 2590\u20132593 (1992).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.69.2590\" data-track-item_id=\"10.1103\/PhysRevLett.69.2590\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.69.2590\" aria-label=\"Article reference 23\" data-doi=\"10.1103\/PhysRevLett.69.2590\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1992PhRvL..69.2590B\" aria-label=\"ADS reference 23\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 23\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Signature%20of%20N%C3%A9el%20order%20in%20exact%20spectra%20of%20quantum%20antiferromagnets%20on%20finite%20lattices&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.69.2590&amp;volume=69&amp;pages=2590-2593&amp;publication_year=1992&amp;author=Bernu%2CB&amp;author=Lhuillier%2CC&amp;author=Pierre%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR24\">Capriotti, L., Trumper, A. E. &amp; Sorella, S. Long-range N\u00e9el order in the triangular Heisenberg model. Phys. Rev. Lett. 82, 3899\u20133902 (1999).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.82.3899\" data-track-item_id=\"10.1103\/PhysRevLett.82.3899\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.82.3899\" aria-label=\"Article reference 24\" data-doi=\"10.1103\/PhysRevLett.82.3899\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1999PhRvL..82.3899C\" aria-label=\"ADS reference 24\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 24\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Long-range%20N%C3%A9el%20order%20in%20the%20triangular%20Heisenberg%20model&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.82.3899&amp;volume=82&amp;pages=3899-3902&amp;publication_year=1999&amp;author=Capriotti%2CL&amp;author=Trumper%2CAE&amp;author=Sorella%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR25\">Starykh, O. A., Chubukov, A. V. &amp; Abanov, A. G. Flat spin-wave dispersion in a triangular antiferromagnet. Phys. Rev. B 74, 180403 (2006).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.74.180403\" data-track-item_id=\"10.1103\/PhysRevB.74.180403\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.74.180403\" aria-label=\"Article reference 25\" data-doi=\"10.1103\/PhysRevB.74.180403\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2006PhRvB..74r0403S\" aria-label=\"ADS reference 25\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 25\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Flat%20spin-wave%20dispersion%20in%20a%20triangular%20antiferromagnet&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.74.180403&amp;volume=74&amp;publication_year=2006&amp;author=Starykh%2COA&amp;author=Chubukov%2CAV&amp;author=Abanov%2CAG\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR26\">Zhitomirsky, M. E. &amp; Chernyshev, A. L. Colloquium: Spontaneous magnon decays. Rev. Mod. Phys. 85, 219\u2013242 (2013).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/RevModPhys.85.219\" data-track-item_id=\"10.1103\/RevModPhys.85.219\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FRevModPhys.85.219\" aria-label=\"Article reference 26\" data-doi=\"10.1103\/RevModPhys.85.219\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2013RvMP...85..219Z\" aria-label=\"ADS reference 26\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 26\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Colloquium%3A%20Spontaneous%20magnon%20decays&amp;journal=Rev.%20Mod.%20Phys.&amp;doi=10.1103%2FRevModPhys.85.219&amp;volume=85&amp;pages=219-242&amp;publication_year=2013&amp;author=Zhitomirsky%2CME&amp;author=Chernyshev%2CAL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR27\">Read, N. &amp; Sachdev, S. Large-n expansion for frustrated quantum antiferromagnets. Phys. Rev. Lett. 66, 1773\u20131776 (1991).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.66.1773\" data-track-item_id=\"10.1103\/PhysRevLett.66.1773\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.66.1773\" aria-label=\"Article reference 27\" data-doi=\"10.1103\/PhysRevLett.66.1773\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1991PhRvL..66.1773R\" aria-label=\"ADS reference 27\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 27\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Large-n%20expansion%20for%20frustrated%20quantum%20antiferromagnets&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.66.1773&amp;volume=66&amp;pages=1773-1776&amp;publication_year=1991&amp;author=Read%2CN&amp;author=Sachdev%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR28\">Chubukov, A. V., Sachdev, S. &amp; Senthil, T. Quantum phase transitions in frustrated quantum antiferromagnets. Nucl. Phys. B 426, 601\u2013643 (1994).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/0550-3213(94)90023-X\" data-track-item_id=\"10.1016\/0550-3213(94)90023-X\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2F0550-3213%2894%2990023-X\" aria-label=\"Article reference 28\" data-doi=\"10.1016\/0550-3213(94)90023-X\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1994NuPhB.426..601C\" aria-label=\"ADS reference 28\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 28\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quantum%20phase%20transitions%20in%20frustrated%20quantum%20antiferromagnets&amp;journal=Nucl.%20Phys.%20B&amp;doi=10.1016%2F0550-3213%2894%2990023-X&amp;volume=426&amp;pages=601-643&amp;publication_year=1994&amp;author=Chubukov%2CAV&amp;author=Sachdev%2CS&amp;author=Senthil%2CT\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR29\">Kaneko, R., Morita, S. &amp; Imada, M. Gapless spin-liquid phase in an extended spin 1\/2 triangular Heisenberg model. J. Phys. Soc. Jpn. 83, 093707 (2014).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.7566\/JPSJ.83.093707\" data-track-item_id=\"10.7566\/JPSJ.83.093707\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.7566%2FJPSJ.83.093707\" aria-label=\"Article reference 29\" data-doi=\"10.7566\/JPSJ.83.093707\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2014JPSJ...83i3707K\" aria-label=\"ADS reference 29\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 29\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Gapless%20spin-liquid%20phase%20in%20an%20extended%20spin%201%2F2%20triangular%20Heisenberg%20model&amp;journal=J.%20Phys.%20Soc.%20Jpn.&amp;doi=10.7566%2FJPSJ.83.093707&amp;volume=83&amp;publication_year=2014&amp;author=Kaneko%2CR&amp;author=Morita%2CS&amp;author=Imada%2CM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR30\">Zhu, Z. &amp; White, S. R. Spin liquid phase of the S\u2009=\u2009\u00bd J1\u2013J2 Heisenberg model on the triangular lattice. Phys. Rev. B 92, 041105 (2015).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.92.041105\" data-track-item_id=\"10.1103\/PhysRevB.92.041105\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.92.041105\" aria-label=\"Article reference 30\" data-doi=\"10.1103\/PhysRevB.92.041105\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2015PhRvB..92d1105Z\" aria-label=\"ADS reference 30\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 30\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Spin%20liquid%20phase%20of%20the%20S%E2%80%89%3D%E2%80%89%C2%BD%20J1%E2%80%93J2%20Heisenberg%20model%20on%20the%20triangular%20lattice&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.92.041105&amp;volume=92&amp;publication_year=2015&amp;author=Zhu%2CZ&amp;author=White%2CSR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR31\">Hu, W.-J., Gong, S.-S., Zhu, W. &amp; Sheng, D. N. Competing spin-liquid states in the spin-\u00bd Heisenberg model on the triangular lattice. Phys. Rev. B 92, 140403 (2015).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.92.140403\" data-track-item_id=\"10.1103\/PhysRevB.92.140403\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.92.140403\" aria-label=\"Article reference 31\" data-doi=\"10.1103\/PhysRevB.92.140403\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2015PhRvB..92n0403H\" aria-label=\"ADS reference 31\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 31\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Competing%20spin-liquid%20states%20in%20the%20spin-%C2%BD%20Heisenberg%20model%20on%20the%20triangular%20lattice&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.92.140403&amp;volume=92&amp;publication_year=2015&amp;author=Hu%2CW-J&amp;author=Gong%2CS-S&amp;author=Zhu%2CW&amp;author=Sheng%2CDN\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR32\">Iqbal, Y., Hu, W.-J., Thomale, R., Poilblanc, D. &amp; Becca, F. Spin liquid nature in the Heisenberg J1\u2013J2 triangular antiferromagnet. Phys. Rev. B 93, 144411 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.93.144411\" data-track-item_id=\"10.1103\/PhysRevB.93.144411\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.93.144411\" aria-label=\"Article reference 32\" data-doi=\"10.1103\/PhysRevB.93.144411\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2016PhRvB..93n4411I\" aria-label=\"ADS reference 32\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 32\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Spin%20liquid%20nature%20in%20the%20Heisenberg%20J1%E2%80%93J2%20triangular%20antiferromagnet&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.93.144411&amp;volume=93&amp;publication_year=2016&amp;author=Iqbal%2CY&amp;author=Hu%2CW-J&amp;author=Thomale%2CR&amp;author=Poilblanc%2CD&amp;author=Becca%2CF\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR33\">Saadatmand, S. N. &amp; McCulloch, I. P. Symmetry fractionalization in the topological phase of the spin-\u00bd J1\u2013J2 triangular Heisenberg model. Phys. Rev. B 94, 121111 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.94.121111\" data-track-item_id=\"10.1103\/PhysRevB.94.121111\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.94.121111\" aria-label=\"Article reference 33\" data-doi=\"10.1103\/PhysRevB.94.121111\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2016PhRvB..94l1111S\" aria-label=\"ADS reference 33\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 33\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Symmetry%20fractionalization%20in%20the%20topological%20phase%20of%20the%20spin-%C2%BD%20J1%E2%80%93J2%20triangular%20Heisenberg%20model&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.94.121111&amp;volume=94&amp;publication_year=2016&amp;author=Saadatmand%2CSN&amp;author=McCulloch%2CIP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR34\">Zhu, Z., Maksimov, P. A., White, S. R. &amp; Chernyshev, A. L. Topography of spin liquids on a triangular lattice. Phys. Rev. Lett. 120, 207203 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.120.207203\" data-track-item_id=\"10.1103\/PhysRevLett.120.207203\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.120.207203\" aria-label=\"Article reference 34\" data-doi=\"10.1103\/PhysRevLett.120.207203\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2018PhRvL.120t7203Z\" aria-label=\"ADS reference 34\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 34\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Topography%20of%20spin%20liquids%20on%20a%20triangular%20lattice&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.120.207203&amp;volume=120&amp;publication_year=2018&amp;author=Zhu%2CZ&amp;author=Maksimov%2CPA&amp;author=White%2CSR&amp;author=Chernyshev%2CAL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR35\">Ma, J. et al. Static and dynamical properties of the spin-1\/2 equilateral triangular-lattice antiferromagnet Ba3CoSb2O9. Phys. Rev. Lett. 116, 087201 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.116.087201\" data-track-item_id=\"10.1103\/PhysRevLett.116.087201\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.116.087201\" aria-label=\"Article reference 35\" data-doi=\"10.1103\/PhysRevLett.116.087201\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2016PhRvL.116h7201M\" aria-label=\"ADS reference 35\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 35\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Static%20and%20dynamical%20properties%20of%20the%20spin-1%2F2%20equilateral%20triangular-lattice%20antiferromagnet%20Ba3CoSb2O9&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.116.087201&amp;volume=116&amp;publication_year=2016&amp;author=Ma%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR36\">Ito, S. et al. Structure of the magnetic excitations in the spin-1\/2 triangular-lattice Heisenberg antiferromagnet Ba3CoSb2O9. Nat. Commun. 8, 235 (2017).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-017-00316-x\" data-track-item_id=\"10.1038\/s41467-017-00316-x\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-017-00316-x\" aria-label=\"Article reference 36\" data-doi=\"10.1038\/s41467-017-00316-x\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2017NatCo...8..235I\" aria-label=\"ADS reference 36\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 36\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Structure%20of%20the%20magnetic%20excitations%20in%20the%20spin-1%2F2%20triangular-lattice%20Heisenberg%20antiferromagnet%20Ba3CoSb2O9&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-017-00316-x&amp;volume=8&amp;publication_year=2017&amp;author=Ito%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR37\">Kamiya, Y. et al. The nature of spin excitations in the one-third magnetization plateau phase of Ba3CoSb2O9. Nat. Commun. 9, 2666 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-018-04914-1\" data-track-item_id=\"10.1038\/s41467-018-04914-1\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-018-04914-1\" aria-label=\"Article reference 37\" data-doi=\"10.1038\/s41467-018-04914-1\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2018NatCo...9.2666K\" aria-label=\"ADS reference 37\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 37\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=The%20nature%20of%20spin%20excitations%20in%20the%20one-third%20magnetization%20plateau%20phase%20of%20Ba3CoSb2O9&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-018-04914-1&amp;volume=9&amp;publication_year=2018&amp;author=Kamiya%2CY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR38\">Macdougal, D. et al. Avoided quasiparticle decay and enhanced excitation continuum in the spin-\u00bd near-Heisenberg triangular antiferromagnet Ba3CoSb2O9. Phys. Rev. B 102, 064421 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.102.064421\" data-track-item_id=\"10.1103\/PhysRevB.102.064421\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.102.064421\" aria-label=\"Article reference 38\" data-doi=\"10.1103\/PhysRevB.102.064421\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2020PhRvB.102f4421M\" aria-label=\"ADS reference 38\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 38\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Avoided%20quasiparticle%20decay%20and%20enhanced%20excitation%20continuum%20in%20the%20spin-%C2%BD%20near-Heisenberg%20triangular%20antiferromagnet%20Ba3CoSb2O9&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.102.064421&amp;volume=102&amp;publication_year=2020&amp;author=Macdougal%2CD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR39\">Arovas, D. P. &amp; Auerbach, A. Functional integral theories of low-dimensional quantum Heisenberg models. Phys. Rev. B 38, 316\u2013332 (1988).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.38.316\" data-track-item_id=\"10.1103\/PhysRevB.38.316\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.38.316\" aria-label=\"Article reference 39\" data-doi=\"10.1103\/PhysRevB.38.316\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1988PhRvB..38..316A\" aria-label=\"ADS reference 39\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 39\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Functional%20integral%20theories%20of%20low-dimensional%20quantum%20Heisenberg%20models&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.38.316&amp;volume=38&amp;pages=316-332&amp;publication_year=1988&amp;author=Arovas%2CDP&amp;author=Auerbach%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR40\">Ghioldi, E. A. et al. Dynamical structure factor of the triangular antiferromagnet: Schwinger boson theory beyond mean field. Phys. Rev. B 98, 184403 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.98.184403\" data-track-item_id=\"10.1103\/PhysRevB.98.184403\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.98.184403\" aria-label=\"Article reference 40\" data-doi=\"10.1103\/PhysRevB.98.184403\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2018PhRvB..98r4403G\" aria-label=\"ADS reference 40\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 40\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Dynamical%20structure%20factor%20of%20the%20triangular%20antiferromagnet%3A%20Schwinger%20boson%20theory%20beyond%20mean%20field&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.98.184403&amp;volume=98&amp;publication_year=2018&amp;author=Ghioldi%2CEA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR41\">Ghioldi, E. A. et al. Evidence of two-spinon bound states in the magnetic spectrum of Ba3CoSb2O9. Phys. Rev. B 106, 064418 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.106.064418\" data-track-item_id=\"10.1103\/PhysRevB.106.064418\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.106.064418\" aria-label=\"Article reference 41\" data-doi=\"10.1103\/PhysRevB.106.064418\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2022PhRvB.106f4418G\" aria-label=\"ADS reference 41\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 41\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Evidence%20of%20two-spinon%20bound%20states%20in%20the%20magnetic%20spectrum%20of%20Ba3CoSb2O9&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.106.064418&amp;volume=106&amp;publication_year=2022&amp;author=Ghioldi%2CEA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR42\">Xie, T. et al. Complete field-induced spectral response of the spin-1\/2 triangular-lattice antiferromagnet CsYbSe2. npj Quantum Mater. 8, 48 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41535-023-00580-9\" data-track-item_id=\"10.1038\/s41535-023-00580-9\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41535-023-00580-9\" aria-label=\"Article reference 42\" data-doi=\"10.1038\/s41535-023-00580-9\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2023npjQM...8...48X\" aria-label=\"ADS reference 42\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 42\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Complete%20field-induced%20spectral%20response%20of%20the%20spin-1%2F2%20triangular-lattice%20antiferromagnet%20CsYbSe2&amp;journal=npj%20Quantum%20Mater.&amp;doi=10.1038%2Fs41535-023-00580-9&amp;volume=8&amp;publication_year=2023&amp;author=Xie%2CT\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR43\">Scheie, A. O. et al. Proximate spin liquid and fractionalization in the triangular antiferromagnet KYbSe2. Nat. Phys. 20, 74\u201381 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41567-023-02259-1\" data-track-item_id=\"10.1038\/s41567-023-02259-1\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41567-023-02259-1\" aria-label=\"Article reference 43\" data-doi=\"10.1038\/s41567-023-02259-1\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 43\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Proximate%20spin%20liquid%20and%20fractionalization%20in%20the%20triangular%20antiferromagnet%20KYbSe2&amp;journal=Nat.%20Phys.&amp;doi=10.1038%2Fs41567-023-02259-1&amp;volume=20&amp;pages=74-81&amp;publication_year=2024&amp;author=Scheie%2CAO\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR44\">Scheie, A. O. et al. Spectrum and low-energy gap in triangular quantum spin liquid NaYbSe2. Preprint at <a href=\"https:\/\/arxiv.org\/html\/2406.17773\" data-track=\"click_references\" data-track-action=\"external reference\" data-track-value=\"external reference\" data-track-label=\"https:\/\/arxiv.org\/html\/2406.17773\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/arxiv.org\/html\/2406.17773<\/a> (2024).<\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR45\">Lyu, Y. et al. Entanglement randomness and gapped itinerant carriers in a frustrated quantum magnet. Phys. Rev. X 15, 041035 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 45\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Entanglement%20randomness%20and%20gapped%20itinerant%20carriers%20in%20a%20frustrated%20quantum%20magnet&amp;journal=Phys.%20Rev.%20X&amp;volume=15&amp;publication_year=2025&amp;author=Lyu%2CY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR46\">Sachdev, S. Kagom\u00e9- and triangular-lattice Heisenberg antiferromagnets: ordering from quantum fluctuations and quantum-disordered ground states with unconfined bosonic spinons. Phys. Rev. B 45, 12377\u201312396 (1992).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.45.12377\" data-track-item_id=\"10.1103\/PhysRevB.45.12377\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.45.12377\" aria-label=\"Article reference 46\" data-doi=\"10.1103\/PhysRevB.45.12377\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1992PhRvB..4512377S\" aria-label=\"ADS reference 46\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 46\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Kagom%C3%A9-%20and%20triangular-lattice%20Heisenberg%20antiferromagnets%3A%20ordering%20from%20quantum%20fluctuations%20and%20quantum-disordered%20ground%20states%20with%20unconfined%20bosonic%20spinons&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.45.12377&amp;volume=45&amp;pages=12377-12396&amp;publication_year=1992&amp;author=Sachdev%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR47\">Wang, F. &amp; Vishwanath, A. Spin-liquid states on the triangular and kagom\u00e9 lattices: a projective-symmetry-group analysis of Schwinger boson states. Phys. Rev. B 74, 174423 (2006).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.74.174423\" data-track-item_id=\"10.1103\/PhysRevB.74.174423\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.74.174423\" aria-label=\"Article reference 47\" data-doi=\"10.1103\/PhysRevB.74.174423\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2006PhRvB..74q4423W\" aria-label=\"ADS reference 47\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 47\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Spin-liquid%20states%20on%20the%20triangular%20and%20kagom%C3%A9%20lattices%3A%20a%20projective-symmetry-group%20analysis%20of%20Schwinger%20boson%20states&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.74.174423&amp;volume=74&amp;publication_year=2006&amp;author=Wang%2CF&amp;author=Vishwanath%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR48\">Shackleton, H. &amp; Sachdev, S. Sign-problem-free effective models of triangular lattice quantum antiferromagnets. Phys. Rev. B 111, 075101 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.111.075101\" data-track-item_id=\"10.1103\/PhysRevB.111.075101\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.111.075101\" aria-label=\"Article reference 48\" data-doi=\"10.1103\/PhysRevB.111.075101\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2025PhRvB.111g5101S\" aria-label=\"ADS reference 48\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 48\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Sign-problem-free%20effective%20models%20of%20triangular%20lattice%20quantum%20antiferromagnets&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.111.075101&amp;volume=111&amp;publication_year=2025&amp;author=Shackleton%2CH&amp;author=Sachdev%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR49\">Miksch, B. et al. Gapped magnetic ground state in quantum spin liquid candidate \u03ba-(BEDT-TTF)2Cu2(CN)3. Science 372, 276\u2013279 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/science.abc6363\" data-track-item_id=\"10.1126\/science.abc6363\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fscience.abc6363\" aria-label=\"Article reference 49\" data-doi=\"10.1126\/science.abc6363\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2021Sci...372..276M\" aria-label=\"ADS reference 49\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 49\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Gapped%20magnetic%20ground%20state%20in%20quantum%20spin%20liquid%20candidate%20%CE%BA-%28BEDT-TTF%292Cu2%28CN%293&amp;journal=Science&amp;doi=10.1126%2Fscience.abc6363&amp;volume=372&amp;pages=276-279&amp;publication_year=2021&amp;author=Miksch%2CB\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR50\">Seifert, U. F. P., Willsher, J., Drescher, M., Pollmann, F. &amp; Knolle, J. Spin-Peierls instability of the U(1) Dirac spin liquid. Nat. Commun. 15, 7110 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41467-024-51367-w\" data-track-item_id=\"10.1038\/s41467-024-51367-w\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41467-024-51367-w\" aria-label=\"Article reference 50\" data-doi=\"10.1038\/s41467-024-51367-w\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2024NatCo..15.7110S\" aria-label=\"ADS reference 50\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 50\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Spin-Peierls%20instability%20of%20the%20U%281%29%20Dirac%20spin%20liquid&amp;journal=Nat.%20Commun.&amp;doi=10.1038%2Fs41467-024-51367-w&amp;volume=15&amp;publication_year=2024&amp;author=Seifert%2CUFP&amp;author=Willsher%2CJ&amp;author=Drescher%2CM&amp;author=Pollmann%2CF&amp;author=Knolle%2CJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR51\">Szasz, A., Motruk, J., Zaletel, M. P. &amp; Moore, J. E. Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study. Phys. Rev. X 10, 021042 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 51\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Chiral%20spin%20liquid%20phase%20of%20the%20triangular%20lattice%20Hubbard%20model%3A%20a%20density%20matrix%20renormalization%20group%20study&amp;journal=Phys.%20Rev.%20X&amp;volume=10&amp;publication_year=2020&amp;author=Szasz%2CA&amp;author=Motruk%2CJ&amp;author=Zaletel%2CMP&amp;author=Moore%2CJE\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR52\">Ma, Z. et al. Spin-glass ground state in a triangular-lattice compound YbZnGaO4. Phys. Rev. Lett. 120, 087201 (2018).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.120.087201\" data-track-item_id=\"10.1103\/PhysRevLett.120.087201\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.120.087201\" aria-label=\"Article reference 52\" data-doi=\"10.1103\/PhysRevLett.120.087201\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2018PhRvL.120h7201M\" aria-label=\"ADS reference 52\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 52\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Spin-glass%20ground%20state%20in%20a%20triangular-lattice%20compound%20YbZnGaO4&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.120.087201&amp;volume=120&amp;publication_year=2018&amp;author=Ma%2CZ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR53\">Norman, M. R. Colloquium: Herbertsmithite and the search for the quantum spin liquid. Rev. Mod. Phys. 88, 041002 (2016).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/RevModPhys.88.041002\" data-track-item_id=\"10.1103\/RevModPhys.88.041002\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FRevModPhys.88.041002\" aria-label=\"Article reference 53\" data-doi=\"10.1103\/RevModPhys.88.041002\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2016RvMP...88d1002N\" aria-label=\"ADS reference 53\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"mathscinet reference\" data-track-action=\"mathscinet reference\" href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=3603182\" aria-label=\"MathSciNet reference 53\" target=\"_blank\">MathSciNet<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 53\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Colloquium%3A%20Herbertsmithite%20and%20the%20search%20for%20the%20quantum%20spin%20liquid&amp;journal=Rev.%20Mod.%20Phys.&amp;doi=10.1103%2FRevModPhys.88.041002&amp;volume=88&amp;publication_year=2016&amp;author=Norman%2CMR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR54\">Han, T.-H. et al. Fractionalized excitations in the spin-liquid state of a kagome-lattice antiferromagnet. Nature 492, 406\u2013410 (2012).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/nature11659\" data-track-item_id=\"10.1038\/nature11659\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fnature11659\" aria-label=\"Article reference 54\" data-doi=\"10.1038\/nature11659\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2012Natur.492..406H\" aria-label=\"ADS reference 54\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 54\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Fractionalized%20excitations%20in%20the%20spin-liquid%20state%20of%20a%20kagome-lattice%20antiferromagnet&amp;journal=Nature&amp;doi=10.1038%2Fnature11659&amp;volume=492&amp;pages=406-410&amp;publication_year=2012&amp;author=Han%2CT-H\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR55\">Feng, Z. et al. Gapped spin-1\/2 spinon excitations in a new kagome quantum spin liquid compound Cu3Zn(OH)6FBr. Chin. Phys. Lett. 34, 077502 (2017).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/0256-307X\/34\/7\/077502\" data-track-item_id=\"10.1088\/0256-307X\/34\/7\/077502\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F0256-307X%2F34%2F7%2F077502\" aria-label=\"Article reference 55\" data-doi=\"10.1088\/0256-307X\/34\/7\/077502\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2017ChPhL..34g7502F\" aria-label=\"ADS reference 55\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 55\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Gapped%20spin-1%2F2%20spinon%20excitations%20in%20a%20new%20kagome%20quantum%20spin%20liquid%20compound%20Cu3Zn%28OH%296FBr&amp;journal=Chin.%20Phys.%20Lett.&amp;doi=10.1088%2F0256-307X%2F34%2F7%2F077502&amp;volume=34&amp;publication_year=2017&amp;author=Feng%2CZ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR56\">Khuntia, P. et al. Gapless ground state in the archetypal quantum kagome antiferromagnet ZnCu3(OH)6Cl2. Nat. Phys. 16, 469\u2013474 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41567-020-0792-1\" data-track-item_id=\"10.1038\/s41567-020-0792-1\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41567-020-0792-1\" aria-label=\"Article reference 56\" data-doi=\"10.1038\/s41567-020-0792-1\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 56\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Gapless%20ground%20state%20in%20the%20archetypal%20quantum%20kagome%20antiferromagnet%20ZnCu3%28OH%296Cl2&amp;journal=Nat.%20Phys.&amp;doi=10.1038%2Fs41567-020-0792-1&amp;volume=16&amp;pages=469-474&amp;publication_year=2020&amp;author=Khuntia%2CP\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR57\">Nilsen, G. J., de Vries, M. A., Stewart, J. R., Harrison, A. &amp; R\u00f8nnow, H. M. Low-energy spin dynamics of the s\u2009=\u20091\/2 kagome system herbertsmithite. J. Phys.: Condens. Matter 25, 106001 (2013).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2013JPCM...25j6001N\" aria-label=\"ADS reference 57\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 57\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Low-energy%20spin%20dynamics%20of%20the%20s%E2%80%89%3D%E2%80%891%2F2%20kagome%20system%20herbertsmithite&amp;journal=J.%20Phys.%3A%20Condens.%20Matter&amp;volume=25&amp;publication_year=2013&amp;author=Nilsen%2CGJ&amp;author=Vries%2CMA&amp;author=Stewart%2CJR&amp;author=Harrison%2CA&amp;author=R%C3%B8nnow%2CHM\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR58\">Wei, Y. et al. Nonlocal effects of low-energy excitations in quantum-spin-liquid candidate Cu3Zn(OH)6FBr. Chin. Phys. Lett. 38, 097501 (2021).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/0256-307X\/38\/9\/097501\" data-track-item_id=\"10.1088\/0256-307X\/38\/9\/097501\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F0256-307X%2F38%2F9%2F097501\" aria-label=\"Article reference 58\" data-doi=\"10.1088\/0256-307X\/38\/9\/097501\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2021ChPhL..38i7501W\" aria-label=\"ADS reference 58\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 58\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Nonlocal%20effects%20of%20low-energy%20excitations%20in%20quantum-spin-liquid%20candidate%20Cu3Zn%28OH%296FBr&amp;journal=Chin.%20Phys.%20Lett.&amp;doi=10.1088%2F0256-307X%2F38%2F9%2F097501&amp;volume=38&amp;publication_year=2021&amp;author=Wei%2CY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR59\">Zeng, Z. et al. Possible Dirac quantum spin liquid in the kagome quantum antiferromagnet YCu3(OH)6Br2[Brx(OH)1\u2212x]. Phys. Rev. B 105, L121109 (2022).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.105.L121109\" data-track-item_id=\"10.1103\/PhysRevB.105.L121109\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.105.L121109\" aria-label=\"Article reference 59\" data-doi=\"10.1103\/PhysRevB.105.L121109\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2022PhRvB.105l1109Z\" aria-label=\"ADS reference 59\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 59\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Possible%20Dirac%20quantum%20spin%20liquid%20in%20the%20kagome%20quantum%20antiferromagnet%20YCu3%28OH%296Br2%5BBrx%28OH%291%E2%88%92x%5D&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.105.L121109&amp;volume=105&amp;publication_year=2022&amp;author=Zeng%2CZ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR60\">Zeng, Z. et al. Spectral evidence for Dirac spinons in a kagome lattice antiferromagnet. Nat. Phys. 20, 1097\u20131102 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41567-024-02495-z\" data-track-item_id=\"10.1038\/s41567-024-02495-z\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41567-024-02495-z\" aria-label=\"Article reference 60\" data-doi=\"10.1038\/s41567-024-02495-z\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 60\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Spectral%20evidence%20for%20Dirac%20spinons%20in%20a%20kagome%20lattice%20antiferromagnet&amp;journal=Nat.%20Phys.&amp;doi=10.1038%2Fs41567-024-02495-z&amp;volume=20&amp;pages=1097-1102&amp;publication_year=2024&amp;author=Zeng%2CZ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR61\">Jeon, S. et al. One-ninth magnetization plateau stabilized by spin entanglement in a kagome antiferromagnet. Nat. Phys. 20, 435\u2013441 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1038\/s41567-023-02318-7\" data-track-item_id=\"10.1038\/s41567-023-02318-7\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1038%2Fs41567-023-02318-7\" aria-label=\"Article reference 61\" data-doi=\"10.1038\/s41567-023-02318-7\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 61\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=One-ninth%20magnetization%20plateau%20stabilized%20by%20spin%20entanglement%20in%20a%20kagome%20antiferromagnet&amp;journal=Nat.%20Phys.&amp;doi=10.1038%2Fs41567-023-02318-7&amp;volume=20&amp;pages=435-441&amp;publication_year=2024&amp;author=Jeon%2CS\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR62\">Chen, X.-H., Huang, Y.-X., Pan, Y. &amp; Mi, J.-X. Quantum spin liquid candidate YCu3(OH)6Br2[Brx(OH)1\u2212x] (x \u2248\u20090.51): with an almost perfect kagom\u00e9 layer. J. Magn. Magn. Mater. 512, 167066 (2020).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.jmmm.2020.167066\" data-track-item_id=\"10.1016\/j.jmmm.2020.167066\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.jmmm.2020.167066\" aria-label=\"Article reference 62\" data-doi=\"10.1016\/j.jmmm.2020.167066\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 62\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Quantum%20spin%20liquid%20candidate%20YCu3%28OH%296Br2%5BBrx%28OH%291%E2%88%92x%5D%20%28x%20%E2%89%88%E2%80%890.51%29%3A%20with%20an%20almost%20perfect%20kagom%C3%A9%20layer&amp;journal=J.%20Magn.%20Magn.%20Mater.&amp;doi=10.1016%2Fj.jmmm.2020.167066&amp;volume=512&amp;publication_year=2020&amp;author=Chen%2CX-H&amp;author=Huang%2CY-X&amp;author=Pan%2CY&amp;author=Mi%2CJ-X\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR63\">Ran, Y., Hermele, M., Lee, P. A. &amp; Wen, X.-G. Projected-wave-function study of the spin-1\/2 Heisenberg model on the kagom\u00e9 lattice. Phys. Rev. Lett. 98, 117205 (2007).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.98.117205\" data-track-item_id=\"10.1103\/PhysRevLett.98.117205\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.98.117205\" aria-label=\"Article reference 63\" data-doi=\"10.1103\/PhysRevLett.98.117205\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2007PhRvL..98k7205R\" aria-label=\"ADS reference 63\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 63\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Projected-wave-function%20study%20of%20the%20spin-1%2F2%20Heisenberg%20model%20on%20the%20kagom%C3%A9%20lattice&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.98.117205&amp;volume=98&amp;publication_year=2007&amp;author=Ran%2CY&amp;author=Hermele%2CM&amp;author=Lee%2CPA&amp;author=Wen%2CX-G\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR64\">Chatterjee, D. et al. From spin liquid to magnetic ordering in the anisotropic kagome Y-kapellasite Y3Cu9(OH)19Cl8: a single-crystal study. Phys. Rev. B 107, 125156 (2023).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.107.125156\" data-track-item_id=\"10.1103\/PhysRevB.107.125156\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.107.125156\" aria-label=\"Article reference 64\" data-doi=\"10.1103\/PhysRevB.107.125156\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2023PhRvB.107l5156C\" aria-label=\"ADS reference 64\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 64\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=From%20spin%20liquid%20to%20magnetic%20ordering%20in%20the%20anisotropic%20kagome%20Y-kapellasite%20Y3Cu9%28OH%2919Cl8%3A%20a%20single-crystal%20study&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.107.125156&amp;volume=107&amp;publication_year=2023&amp;author=Chatterjee%2CD\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR65\">Han, L. et al. Spin excitations arising from anisotropic Dirac spinons in YCu3(OD)6Br2[Br0.33(OD)0.67]. Phys. Rev. B 112, 045114 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/qypv-n4yg\" data-track-item_id=\"10.1103\/qypv-n4yg\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2Fqypv-n4yg\" aria-label=\"Article reference 65\" data-doi=\"10.1103\/qypv-n4yg\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2025PhRvB.112d5114H\" aria-label=\"ADS reference 65\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 65\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Spin%20excitations%20arising%20from%20anisotropic%20Dirac%20spinons%20in%20YCu3%28OD%296Br2%5BBr0.33%28OD%290.67%5D&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2Fqypv-n4yg&amp;volume=112&amp;publication_year=2025&amp;author=Han%2CL\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR66\">Xu, A. et al. Magnetic ground states in the kagome system YCu3(OH)6[(ClxBr1\u2212x)3\u2212y(OH)y]. Phys. Rev. B 110, 085146 (2024).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevB.110.085146\" data-track-item_id=\"10.1103\/PhysRevB.110.085146\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevB.110.085146\" aria-label=\"Article reference 66\" data-doi=\"10.1103\/PhysRevB.110.085146\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2024PhRvB.110h5146X\" aria-label=\"ADS reference 66\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 66\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Magnetic%20ground%20states%20in%20the%20kagome%20system%20YCu3%28OH%296%5B%28ClxBr1%E2%88%92x%293%E2%88%92y%28OH%29y%5D&amp;journal=Phys.%20Rev.%20B&amp;doi=10.1103%2FPhysRevB.110.085146&amp;volume=110&amp;publication_year=2024&amp;author=Xu%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR67\">Yan, S., Huse, D. A. &amp; White, S. R. Spin-liquid ground state of the s\u2009=\u20091\/2 kagome Heisenberg antiferromagnet. Science 332, 1173\u20131176 (2011).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1126\/science.1201080\" data-track-item_id=\"10.1126\/science.1201080\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1126%2Fscience.1201080\" aria-label=\"Article reference 67\" data-doi=\"10.1126\/science.1201080\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2011Sci...332.1173Y\" aria-label=\"ADS reference 67\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 67\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Spin-liquid%20ground%20state%20of%20the%20s%E2%80%89%3D%E2%80%891%2F2%20kagome%20Heisenberg%20antiferromagnet&amp;journal=Science&amp;doi=10.1126%2Fscience.1201080&amp;volume=332&amp;pages=1173-1176&amp;publication_year=2011&amp;author=Yan%2CS&amp;author=Huse%2CDA&amp;author=White%2CSR\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR68\">Depenbrock, S., McCulloch, I. P. &amp; Schollw\u00f6ck, U. Nature of the spin-liquid ground state of the s = 1\/2 Heisenberg model on the kagome lattice. Phys. Rev. Lett. 109, 067201 (2012).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.109.067201\" data-track-item_id=\"10.1103\/PhysRevLett.109.067201\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.109.067201\" aria-label=\"Article reference 68\" data-doi=\"10.1103\/PhysRevLett.109.067201\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2012PhRvL.109f7201D\" aria-label=\"ADS reference 68\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 68\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Nature%20of%20the%20spin-liquid%20ground%20state%20of%20the%20s%20%3D%201%2F2%20Heisenberg%20model%20on%20the%20kagome%20lattice&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.109.067201&amp;volume=109&amp;publication_year=2012&amp;author=Depenbrock%2CS&amp;author=McCulloch%2CIP&amp;author=Schollw%C3%B6ck%2CU\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR69\">Liao, H. J. et al. Gapless spin-liquid ground state in the s = 1\/2 kagome antiferromagnet. Phys. Rev. Lett. 118, 137202 (2017).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.118.137202\" data-track-item_id=\"10.1103\/PhysRevLett.118.137202\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.118.137202\" aria-label=\"Article reference 69\" data-doi=\"10.1103\/PhysRevLett.118.137202\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2017PhRvL.118m7202L\" aria-label=\"ADS reference 69\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 69\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Gapless%20spin-liquid%20ground%20state%20in%20the%20s%20%3D%201%2F2%20kagome%20antiferromagnet&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.118.137202&amp;volume=118&amp;publication_year=2017&amp;author=Liao%2CHJ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR70\">Li, Z. et al. Antiferromagnetic order and possible quantum spin liquid in kagome antiferromagnet LuCu3(OH)6Br2[Brx(OH)1\u2212x]. Chin. Phys. Lett. 42, 027504 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1088\/0256-307X\/42\/2\/027504\" data-track-item_id=\"10.1088\/0256-307X\/42\/2\/027504\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1088%2F0256-307X%2F42%2F2%2F027504\" aria-label=\"Article reference 70\" data-doi=\"10.1088\/0256-307X\/42\/2\/027504\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2025ChPhL..42b7504L\" aria-label=\"ADS reference 70\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 70\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Antiferromagnetic%20order%20and%20possible%20quantum%20spin%20liquid%20in%20kagome%20antiferromagnet%20LuCu3%28OH%296Br2%5BBrx%28OH%291%E2%88%92x%5D&amp;journal=Chin.%20Phys.%20Lett.&amp;doi=10.1088%2F0256-307X%2F42%2F2%2F027504&amp;volume=42&amp;publication_year=2025&amp;author=Li%2CZ\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR71\">Xu, X. Y. et al. Monte Carlo study of lattice compact quantum electrodynamics with fermionic matter: the parent state of quantum phases. Phys. Rev. X 9, 021022 (2019).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 71\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Monte%20Carlo%20study%20of%20lattice%20compact%20quantum%20electrodynamics%20with%20fermionic%20matter%3A%20the%20parent%20state%20of%20quantum%20phases&amp;journal=Phys.%20Rev.%20X&amp;volume=9&amp;publication_year=2019&amp;author=Xu%2CXY\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR72\">Willsher, J. &amp; Knolle, J. Dynamics and stability of U(1) spin liquids beyond mean-field theory: triangular-lattice J1\u2212J2 Heisenberg model. Preprint at <a href=\"https:\/\/arxiv.org\/abs\/2503.13831\" data-track=\"click_references\" data-track-action=\"external reference\" data-track-value=\"external reference\" data-track-label=\"https:\/\/arxiv.org\/abs\/2503.13831\" rel=\"nofollow noopener\" target=\"_blank\">https:\/\/arxiv.org\/abs\/2503.13831<\/a> (2025).<\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR73\">Kitaev, A. Anyons in an exactly solved model and beyond. Ann. Phys. (N. Y.) 321, 2\u2013111 (2006).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.aop.2005.10.005\" data-track-item_id=\"10.1016\/j.aop.2005.10.005\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.aop.2005.10.005\" aria-label=\"Article reference 73\" data-doi=\"10.1016\/j.aop.2005.10.005\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2006AnPhy.321....2K\" aria-label=\"ADS reference 73\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"mathscinet reference\" data-track-action=\"mathscinet reference\" href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=2200691\" aria-label=\"MathSciNet reference 73\" target=\"_blank\">MathSciNet<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 73\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Anyons%20in%20an%20exactly%20solved%20model%20and%20beyond&amp;journal=Ann.%20Phys.%20%28N.%20Y.%29&amp;doi=10.1016%2Fj.aop.2005.10.005&amp;volume=321&amp;pages=2-111&amp;publication_year=2006&amp;author=Kitaev%2CA\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR74\">Jackeli, G. &amp; Khaliullin, G. Mott insulators in the strong spin\u2013orbit coupling limit: from Heisenberg to a quantum compass and Kitaev models. Phys. Rev. Lett. 102, 017205 (2009).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/PhysRevLett.102.017205\" data-track-item_id=\"10.1103\/PhysRevLett.102.017205\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FPhysRevLett.102.017205\" aria-label=\"Article reference 74\" data-doi=\"10.1103\/PhysRevLett.102.017205\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2009PhRvL.102a7205J\" aria-label=\"ADS reference 74\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 74\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Mott%20insulators%20in%20the%20strong%20spin%E2%80%93orbit%20coupling%20limit%3A%20from%20Heisenberg%20to%20a%20quantum%20compass%20and%20Kitaev%20models&amp;journal=Phys.%20Rev.%20Lett.&amp;doi=10.1103%2FPhysRevLett.102.017205&amp;volume=102&amp;publication_year=2009&amp;author=Jackeli%2CG&amp;author=Khaliullin%2CG\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR75\">Trebst, S. &amp; Hickey, C. Kitaev materials. Phys. Rep. 950, 1\u201337 (2022). Comprehensive theoretical and experimental review of Kitaev materials.<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1016\/j.physrep.2021.11.003\" data-track-item_id=\"10.1016\/j.physrep.2021.11.003\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1016%2Fj.physrep.2021.11.003\" aria-label=\"Article reference 75\" data-doi=\"10.1016\/j.physrep.2021.11.003\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2022PhR...950....1T\" aria-label=\"ADS reference 75\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 75\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Kitaev%20materials&amp;journal=Phys.%20Rep.&amp;doi=10.1016%2Fj.physrep.2021.11.003&amp;volume=950&amp;pages=1-37&amp;publication_year=2022&amp;author=Trebst%2CS&amp;author=Hickey%2CC\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR76\">M\u00f6ller, M. et al. Rethinking \u03b1-RuCl3: parameters, models, and phase diagram. Phys. Rev. B 112, 104403 (2025).<\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR77\">Matsuda, Y., Shibauchi, T. &amp; Kee, H.-Y. Kitaev quantum spin liquids. Rev. Mod. Phys. 97, 045003 (2025).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/3m4m-3v59\" data-track-item_id=\"10.1103\/3m4m-3v59\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2F3m4m-3v59\" aria-label=\"Article reference 77\" data-doi=\"10.1103\/3m4m-3v59\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=2025RvMP...97d5003M\" aria-label=\"ADS reference 77\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 77\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=Kitaev%20quantum%20spin%20liquids&amp;journal=Rev.%20Mod.%20Phys.&amp;doi=10.1103%2F3m4m-3v59&amp;volume=97&amp;publication_year=2025&amp;author=Matsuda%2CY&amp;author=Shibauchi%2CT&amp;author=Kee%2CH-Y\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n<p class=\"c-article-references__text\" id=\"ref-CR78\">Kogut, J. B. An introduction to lattice gauge theory and spin systems. Rev. Mod. Phys. 51, 659\u2013713 (1979).<\/p>\n<p class=\"c-article-references__links u-hide-print\"><a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"10.1103\/RevModPhys.51.659\" data-track-item_id=\"10.1103\/RevModPhys.51.659\" data-track-value=\"article reference\" data-track-action=\"article reference\" href=\"https:\/\/doi.org\/10.1103%2FRevModPhys.51.659\" aria-label=\"Article reference 78\" data-doi=\"10.1103\/RevModPhys.51.659\" target=\"_blank\">Article<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"ads reference\" data-track-action=\"ads reference\" href=\"http:\/\/adsabs.harvard.edu\/cgi-bin\/nph-data_query?link_type=ABSTRACT&amp;bibcode=1979RvMP...51..659K\" aria-label=\"ADS reference 78\" target=\"_blank\">ADS<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" rel=\"nofollow noopener\" data-track-label=\"link\" data-track-item_id=\"link\" data-track-value=\"mathscinet reference\" data-track-action=\"mathscinet reference\" href=\"http:\/\/www.ams.org\/mathscinet-getitem?mr=547095\" aria-label=\"MathSciNet reference 78\" target=\"_blank\">MathSciNet<\/a>\u00a0<br \/>\n    <a data-track=\"click_references\" data-track-action=\"google scholar reference\" data-track-value=\"google scholar reference\" data-track-label=\"link\" data-track-item_id=\"link\" rel=\"nofollow noopener\" aria-label=\"Google Scholar reference 78\" href=\"http:\/\/scholar.google.com\/scholar_lookup?&amp;title=An%20introduction%20to%20lattice%20gauge%20theory%20and%20spin%20systems&amp;journal=Rev.%20Mod.%20Phys.&amp;doi=10.1103%2FRevModPhys.51.659&amp;volume=51&amp;pages=659-713&amp;publication_year=1979&amp;author=Kogut%2CJB\" target=\"_blank\"><br \/>\n                    Google Scholar<\/a>\u00a0\n                <\/p>\n","protected":false},"excerpt":{"rendered":"Haldane, F. D. M. \u2018Luttinger liquid theory\u2019 of one-dimensional quantum fluids. I. Properties of the Luttinger model and&hellip;\n","protected":false},"author":2,"featured_media":664805,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[24],"tags":[4491,4490,4495,4494,3250,4834,4489,4492,4493,25268,2302,90,4488,56,54,55],"class_list":["post-664804","post","type-post","status-publish","format-standard","has-post-thumbnail","category-physics","tag-atomic","tag-classical-and-continuum-physics","tag-complex-systems","tag-condensed-matter-physics","tag-general","tag-magnetic-properties-and-materials","tag-mathematical-and-computational-physics","tag-molecular","tag-optical-and-plasma-physics","tag-phase-transitions-and-critical-phenomena","tag-physics","tag-science","tag-theoretical","tag-uk","tag-united-kingdom","tag-unitedkingdom"],"_links":{"self":[{"href":"https:\/\/www.newsbeep.com\/uk\/wp-json\/wp\/v2\/posts\/664804","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.newsbeep.com\/uk\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.newsbeep.com\/uk\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/uk\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/uk\/wp-json\/wp\/v2\/comments?post=664804"}],"version-history":[{"count":0,"href":"https:\/\/www.newsbeep.com\/uk\/wp-json\/wp\/v2\/posts\/664804\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/uk\/wp-json\/wp\/v2\/media\/664805"}],"wp:attachment":[{"href":"https:\/\/www.newsbeep.com\/uk\/wp-json\/wp\/v2\/media?parent=664804"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.newsbeep.com\/uk\/wp-json\/wp\/v2\/categories?post=664804"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.newsbeep.com\/uk\/wp-json\/wp\/v2\/tags?post=664804"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}