{"id":874847,"date":"2026-08-28T18:14:19","date_gmt":"2026-08-28T18:14:19","guid":{"rendered":"https:\/\/www.newsbeep.com\/ca\/874847\/"},"modified":"2026-08-28T18:14:19","modified_gmt":"2026-08-28T18:14:19","slug":"topological-pair-density-waves-in-kagome-superconductors","status":"publish","type":"post","link":"https:\/\/www.newsbeep.com\/ca\/874847\/","title":{"rendered":"Topological pair density waves in kagome superconductors"},"content":{"rendered":"

Fulde, P. & Ferrell, R. A. Superconductivity in a strong spin-exchange field. Phys. Rev. 135, A550\u2013A563 (1964).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Larkin, A. & Ovchinnikov, Y. N. Nonuniform state of superconductors. Sov. Phys. JETP 20, 762\u2013770 (1965).<\/p>\n


\n Google Scholar<\/a>\u00a0\n <\/p>\n

Matsuda, Y. & Shimahara, H. Fulde\u2013Ferrell\u2013Larkin\u2013Ovchinnikov state in heavy fermion superconductors. J. Phys. Soc. Jpn\u00a076, 051005 (2007).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Fradkin, E., Kivelson, S. A. & Tranquada, J. M. Colloquium: theory of intertwined orders in high temperature superconductors. Rev. Mod. Phys. 87, 457\u2013482 (2015).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Yin, J. X., Lian, B. & Hasan, M. Z. Topological kagome magnets and superconductors. Nature 612, 647\u2013657 (2022).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Wang, Y. J., Wu, H., McCandless, G. T., Chan, J. Y. & Ali, M. N. Quantum states and intertwining phases in kagome materials. Nat. Rev. Phys. 5, 635\u2013658 (2023).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Jiang, K. et al. Kagome superconductors AV3Sb5 (A= K, Rb, Cs). Natl Sci. Rev. 10, nwac199 (2023).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Di Sante, D. et al. Kagome metals. Rev. Mod. Phys. 98, 015002 (2026).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Bardeen, J., Cooper, L. N. & Schrieffer, J. R. Theory of superconductivity. Phys. Rev. 108, 1175 (1957).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Brydon, P. M. R., Agterberg, D. F., Menke, H. & Timm, C. Bogoliubov Fermi surfaces: general theory, magnetic order, and topology. Phys. Rev. B 98, 224509 (2018).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Hamidian, M. H. et al. Detection of a Cooper-pair density wave in Bi2Sr2CaCu2O8+x. Nature 532, 343\u2013347 (2016).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Ruan, W. et al. Visualization of the periodic modulation of Cooper pairing in a cuprate superconductor. Nat. Phys. 14, 1178\u20131182 (2018).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Agterberg, D. F. et al. The physics of pair-density waves: cuprate superconductors and beyond. Annu. Rev. Condens. Matter Phys. 11, 231\u2013270 (2020).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Liu, X. L., Chong, Y. X., Sharma, R. & Davis, J. C. S. Discovery of a Cooper-pair density wave state in a transition-metal dichalcogenide. Science 372, 1447\u20131452 (2021).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Chen, H. et al. Roton pair density wave in a strong-coupling kagome superconductor. Nature 599, 222\u2013228 (2021).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Gu, Q. et al. Detection of a pair density wave state in UTe2. Nature 618, 921\u2013927 (2023).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Zhao, H. et al. Smectic pair-density-wave order in EuRbFe4As4. Nature 618, 940\u2013945 (2023).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Liu, Y. et al. Pair density wave state in a monolayer high-Tc iron-based superconductor. Nature 618, 934\u2013939 (2023).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Deng, H. et al. Chiral kagome superconductivity modulations with residual Fermi arcs. Nature 632, 775\u2013781 (2024).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Agterberg, D., Geracie, M. & Tsunetsugu, H. Conventional and charge-six superfluids from melting hexagonal Fulde\u2013Ferrell\u2013Larkin\u2013Ovchinnikov phases in two dimensions. Phys. Rev. B 84, 014513 (2011).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Luh, Y. Bound state in superconductors with paramagnetic impurities. Acta Phys. Sin. 21, 75 (1965).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Gao, Z.-Q., Lin, Y.-P. & Lee, D.-H. Pair-breaking scattering interference as a mechanism for superconducting gap modulation. Phys. Rev. B 110, 224509 (2024).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Yin, J.-X. & Wang, Q.-H. Superconducting gap modulations: are they from pair density waves or pair-breaking scattering? Acta Phys. Sin. 73, 157401 (2024).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Holb\u00e6k, S. C. & Fischer, M. H. Interplay of superconductivity and charge-density-wave order in kagome materials. Phys. Rev. Res. 7, 023129 (2025).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Jiang, Y. F., Yao, H. & Yang, F. Possible superconductivity with a Bogoliubov Fermi surface in a lightly doped kagome U(1) spin liquid. Phys. Rev. Lett. 127, 187003 (2021).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Cho, G. Y., Soto-Garrido, R. & Fradkin, E. Topological pair-density-wave superconducting states. Phys. Rev. Lett. 113, 256405 (2014).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Yu, Y., Madhavan, V. & Raghu, S. Majorana fermion arcs and the local density of states of UTe2. Phys. Rev. B 105, 174520 (2022).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Yu, S. L. & Li, J. X. Chiral superconducting phase and chiral spin-density-wave phase in a Hubbard model on the kagome lattice. Phys. Rev. B 85, 144402 (2012).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Kiesel, M. L. & Thomale, R. Sublattice interference in the kagome Hubbard model. Phys. Rev. B 86, 121105 (2012).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Wu, X. et al. Nature of unconventional pairing in the kagome superconductors AV3Sb5 (A= K, Rb, Cs). Phys. Rev. Lett. 127, 177001 (2021).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Ortiz, B. R. et al. CsV3Sb5: a Z2 topological kagome metal with a superconducting ground state. Phys. Rev. Lett. 125, 247002 (2020).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Kang, M. et al. Twofold van Hove singularity and origin of charge order in topological kagome superconductor CsV3Sb5. Nat. Phys. 18, 301\u2013308 (2022).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Hu, Y. et al. Rich nature of van Hove singularities in kagome superconductor CsV3Sb5. Nat. Commun. 13, 2220 (2022).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Neupert, T., Denner, M. M., Yin, J.-X., Thomale, R. & Hasan, M. Z. Charge order and superconductivity in kagome materials. Nat. Phys. 18, 137\u2013143 (2022).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Wang, W. S., Li, Z. Z., Xiang, Y. Y. & Wang, Q. H. Competing electronic orders on kagome lattices at van Hove filling. Phys. Rev. B 87, 115135 (2013).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Kiesel, M. L., Platt, C. & Thomale, R. Unconventional Fermi surface instabilities in the kagome Hubbard model. Phys. Rev. Lett. 110, 126405 (2013).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Sigrist, M. & Ueda, K. Phenomenological theory of unconventional superconductivity. Rev. Mod. Phys. 63, 239 (1991).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Fu, R. et al. Exotic charge-density waves and superconductivity on the kagome lattice. Natl Sci. Rev. 12, nwaf414 (2025).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Dong, J.-W., Wang, Z. & Zhou, S. Loop-current charge density wave driven by long-range Coulomb repulsion on the kagom\u00e9 lattice. Phys. Rev. B 107, 045127 (2023).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Feng, X., Jiang, K., Wang, Z. & Hu, J. Chiral flux phase in the kagome superconductor AV3Sb5. Sci. Bull. 66, 1384\u20131388 (2021).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Park, T., Ye, M. X. & Balents, L. Electronic instabilities of kagome metals: saddle points and Landau theory. Phys. Rev. B 104, 035142 (2021).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Lin, Y.-P. & Nandkishore, R. M. Complex charge density waves at Van Hove singularity on hexagonal lattices: haldane-model phase diagram and potential realization in the kagome metals AV3Sb5 (A= K, Rb, Cs). Phys. Rev. B 104, 045122 (2021).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Denner, M. M., Thomale, R. & Neupert, T. Analysis of charge order in the kagome metal AV3Sb5 (A= K, Rb, Cs). Phys. Rev. Lett. 127, 217601 (2021).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Christensen, M. H., Birol, T., Andersen, B. M. & Fernandes, R. M. Loop currents in AV3Sb5 kagome metals: multipolar and toroidal magnetic orders. Phys. Rev. B 106, 144504 (2022).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Tazai, R., Yamakawa, Y. & Kontani, H. Charge-loop current order and Z3 nematicity mediated by bond order fluctuations in kagome metals. Nat. Commun. 14, 7845 (2023).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Li, H., Kim, Y. B. & Kee, H.-Y. Intertwined van Hove singularities as a mechanism for loop current order in kagome metals. Phys. Rev. Lett. 132, 146501 (2024).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Zhan, J. et al. Loop current order on the kagome lattice. Phys. Rev. Lett. 136, 126001 (2026).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Haldane, F. D. M. Model for a quantum Hall-effect without Landau levels: condensed-matter realization of the parity anomaly. Phys. Rev. Lett. 61, 2015\u20132018 (1988).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Zhu, W., Gong, S. S., Zeng, T. S., Fu, L. & Sheng, D. N. Interaction-driven spontaneous quantum Hall effect on a kagome lattice. Phys. Rev. Lett. 117, 096402 (2016).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Varma, C. M. Non-Fermi-liquid states and pairing instability of a general model of copper oxide metals. Phys. Rev. B 55, 14554\u201314580 (1997).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Chakravarty, S., Laughlin, R., Morr, D. K. & Nayak, C. Hidden order in the cuprates. Phys. Rev. B 63, 094503 (2001).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Yao, M., Wang, Y., Wang, D., Yin, J.-X. & Wang, Q.-H. Self-consistent theory of 2\u00d72 pair density waves in kagome superconductors. Phys. Rev. B 111, 094505 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Zhou, S. & Wang, Z. Chern Fermi pocket, topological pair density wave, and charge-4e and charge-6e superconductivity in kagome superconductors. Nat. Commun. 13, 7288 (2022).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Li, H. et al. Small Fermi pockets intertwined with charge stripes and pair density wave order in a kagome superconductor. Phys. Rev. X 13, 031030 (2023).<\/p>\n


\n Google Scholar<\/a>\u00a0\n <\/p>\n

Li, H. et al. Unidirectional coherent quasiparticles in the high-temperature rotational symmetry broken phase of AV3Sb5 kagome superconductors. Nat. Phys. 19, 637\u2013643 (2023).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Wu, P. et al. Unidirectional electron\u2013phonon coupling in the nematic state of a kagome superconductor. Nat. Phys. 19, 1143\u20131149 (2023).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Song, W. et al. Switchable chiral pair density wave in pure CsV3Sb5. Phys. Rev. B 113, 125127 (2026).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Yan, X. Y. et al. Chiral pair density waves with residual Fermi arcs in RbV3Sb5. Chin. Phys. Lett. 41, 097401 (2024).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Yan, X.-Y. et al. Phase-sensitive evidence for pair density waves in a kagome superconductor. Proc. Natl Acad. Sci. USA 123, e2604142123 (2026).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Sun, Y. et al. Imaging momentum-space Cooper pair formation and its competition with the charge density wave gap in a kagome superconductor. Sci. China Phys. Mech. Astron. 67, 277411 (2024).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Huang, Z. et al. Revealing the orbital origins of exotic electronic states with Ti substitution in kagome superconductor CsV3Sb5. Phys. Rev. Lett. 134, 056001 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Deng, H. et al. Evidence for time-reversal symmetry-breaking kagome superconductivity. Nat. Mater. 23, 1639\u20131644 (2024).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Zhao, C. C. et al. Ultralow-temperature heat transport evidence for residual density of states in the superconducting state of CsV3Sb5. Chin. Phys. Lett. 41, 127303 (2024).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Hossain, M. S. et al. Unconventional gapping behaviour in a kagome superconductor. Nat. Phys. 21, 556\u2013563 (2025).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Guguchia, Z. et al. Tunable unconventional kagome superconductivity in charge ordered RbV3Sb5 and KV3Sb5. Nat. Commun. 14, 153 (2023).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Feng, X. Y. et al. Fully-gapped superconductivity with rotational symmetry breaking in pressurized kagome metal CsV3Sb5. Nat. Commun. 16, 3643 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Wu, Y. et al. Nonreciprocal charge transport in topological kagome superconductor CsV3Sb5. npj Quantum Mater. 7, 105 (2022).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Le, T. et al. Superconducting diode effect and interference patterns in kagome CsV3Sb5. Nature 630, 64\u201369 (2024).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Lin, T. Y., Song, F. F. & Zhang, G. M. Theory of the charge-6e condensed phase in kagome-lattice superconductors. Phys. Rev. B 111, 054508 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Ge, J. et al. Charge-4e and charge-6e flux quantization and higher charge superconductivity in kagome superconductor ring devices. Phys. Rev. X 14, 021025 (2024).<\/p>\n


\n Google Scholar<\/a>\u00a0\n <\/p>\n

Wang, S. et al. Switchable half-quantum flux states in a ring of the kagome superconductor CsV3Sb5. Preprint at https:\/\/arxiv.org\/abs\/2512.10010<\/a> (2025).<\/p>\n

Jin, J. T., Jiang, K., Yao, H. & Zhou, Y. Interplay between pair density wave and a nested Fermi surface. Phys. Rev. Lett. 129, 167001 (2022).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Mohanta, N. Chiral pair density wave as a precursor of the pseudogap in kagome superconductors. Phys. Rev. B 108, L220507 (2023).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n MathSciNet<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Wu, Y. M., Thomale, R. & Raghu, S. Sublattice interference promotes pair density wave order in kagome metals. Phys. Rev. B 108, L081117 (2023).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Xu, H. S. et al. Multiband superconductivity with sign-preserving order parameter in kagome superconductor CsV3Sb5. Phys. Rev. Lett. 127, 187004 (2021).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Mine, A. et al. Observation of Fermi-surface-dependent anisotropic cooper pairing in kagome superconductor CsV3Sb5. Commun. Mater. 6, 276 (2025).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Zhong, Y. et al. Nodeless electron pairing in CsV3Sb5-derived kagome superconductors. Nature 617, 488\u2013492 (2023).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Aslamazov, L. G. Influence of impurities on the existence of an inhomogeneous state in a ferromagnetic superconductor. Sov. Phys. JETP 28, 773\u2013775 (1969).<\/p>\n

ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Takada, S. Superconductivity in a molecular field. II: stability of Fulde\u2013Ferrell phase. Prog. Theor. Phys. 43, 27\u201338 (1970).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Cui, Q. & Yang, K. Fulde\u2013Ferrell\u2013Larkin\u2013Ovchinnikov state in disordered s-wave superconductors. Phys. Rev. B 78, 054501 (2008).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Berg, E., Fradkin, E. & Kivelson, S. A. Theory of the striped superconductor. Phys. Rev. B 79, 064515 (2009).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Yoshida, H. et al. Observation of anomalous thermal Hall effect in a kagome superconductor. Sci. Adv. 11, eadu2973 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Holb\u00e6k, S. C., Christensen, M. H., Kreisel, A. & Andersen, B. M. Unconventional superconductivity protected from disorder on the kagome lattice. Phys. Rev. B 108, 144508 (2023).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Dai, Y., Kreisel, A. & Andersen, B. M. Existence of Hebel\u2013Slichter peak in unconventional kagome superconductors. Phys. Rev. B 110, 144516 (2024).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Li, Q.-F. et al. Loop-current fluctuations mediated chiral d-wave pairing in kagome lattice. Chin. Phys. Lett. 42, 057302 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Schultz, D. J. et al. Superconductivity in kagome metals due to soft loop-current fluctuations. Nat. Commun. 17, 4557 (2026).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Mitra, A., Schultz, D. J. & Kim, Y. B. Interplay of competing bond-order and loop-current fluctuations as a possible mechanism for superconductivity in kagome metals. Preprint at https:\/\/arxiv.org\/abs\/2510.00134<\/a> (2025).<\/p>\n

Tazai, R., Yamakawa, Y. & Kontani, H. Nematic chiral superconductivity driven by chiral loop current order in kagome metals. Preprint at https:\/\/arxiv.org\/abs\/2508.04433<\/a> (2025).<\/p>\n

Kong, L. et al. Cooper-pair density modulation state in an iron-based superconductor. Nature 640, 55\u201361 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Cheng, F.-J. et al. Imaging sublattice Cooper-pair density waves in monolayer 1T\u2032-MoTe2. Phys. Rev. Lett. 135, 166201 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Du, Z. et al. Imaging the energy gap modulations of the cuprate pair-density-wave state. Nature 580, 65\u201370 (2020).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Yin, J.-X. et al. Discovery of charge order and corresponding edge state in kagome magnet FeGe. Phys. Rev. Lett. 129, 166401 (2022).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Yin, J. X. et al. Quantum-limit Chern topological magnetism in TbMn6Sn6. Nature 583, 533\u2013536 (2020).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Lv, Y.-F. et al. Mapping the electronic structure of each ingredient oxide layer of high-Tc cuprate superconductor Bi2Sr2CaCu2O8+\u03b4. Phys. Rev. Lett. 115, 237002 (2015).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Zhu, Z. et al. Discovery of segmented Fermi surface induced by Cooper pair momentum. Science 374, 1381\u20131385 (2021).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Hu, L.-H., Liu, C.-X. & Zhang, F.-C. Topological Larkin-Ovchinnikov phase and Majorana zero mode chain in bilayer superconducting topological insulator films. Commun. Phys. 2, 25 (2019).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Marra, P., Inotani, D., Mizushima, T. & Nitta, M. Majorana modes in striped two-dimensional inhomogeneous topological superconductors. npj Quantum Mater. 9, 59 (2024).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Ye, L. et al. Massive Dirac fermions in a ferromagnetic kagome metal. Nature 555, 638\u2013642 (2018).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Yin, J. X. et al. Giant and anisotropic many-body spin\u2013orbit tunability in a strongly correlated kagome magnet. Nature 562, 91\u201395 (2018).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Liu, D. F. et al. Magnetic Weyl semimetal phase in a kagome crystal. Science 365, 1282\u20131285 (2019).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Morali, N. et al. Fermi-arc diversity on surface terminations of the magnetic Weyl semimetal Co3Sn2S2. Science 365, 1286\u20131291 (2019).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Hasan, M. Z. & Kane, C. L. Colloquium: topological insulators. Rev. Mod. Phys. 82, 3045\u20133067 (2010).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Liu, J. P. & Dai, X. Orbital magnetic states in moire graphene systems. Nat. Rev. Phys. 3, 367\u2013382 (2021).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Wan, Z. et al. Unconventional superconductivity in chiral molecule-TaS2 hybrid superlattices. Nature 632, 69\u201374 (2024).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Almoalem, A. et al. The observation of \u03c0-shifts in the Little\u2013Parks effect in 4Hb-TaS2. Nat. Commun. 15, 4623 (2024).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Han, T. et al. Signatures of chiral superconductivity in rhombohedral graphene. Nature 643, 654\u2013661 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Ribak, A. et al. Chiral superconductivity in the alternate stacking compound 4Hb-TaS2. Sci. Adv. 6, eaax9480 (2020).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Liu, S.-B. et al. Nematic Ising superconductivity with hidden magnetism in few-layer 6R-TaS2. Nat. Commun. 15, 7569 (2024).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Sazgari, V. et al. Competing quantum orders in 6R-TaS2 revealed by pressure. Nat. Commun.\u00a017, 5898 (2026).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Zhang, H. et al. Moir\u00e9 enhanced flat band in rhombohedral graphene. Nat. Mater. 25, 566\u2013572 (2026).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Wang, S. et al. Unconventional hysteresis due to time-reversal symmetry breaking superconductivity in RbV3Sb5. Nat. Commun. 17, 1310 (2026).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Ge, J. et al. Nonreciprocal superconducting critical currents with normal state field trainability in kagome superconductor CsV3Sb5.\u00a0Nat. Commun.\u00a017, 6056\u00a0(2026).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Jiang, Y. X. et al. Unconventional chiral charge order in kagome superconductor KV3Sb5. Nat. Mater. 20, 1353\u20131357 (2021).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Wang, Z. W. et al. Electronic nature of chiral charge order in the kagome superconductor CsV3Sb5. Phys. Rev. B 104, 075148 (2021).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Shumiya, N. et al. Intrinsic nature of chiral charge order in the kagome superconductor RbV3Sb5. Phys. Rev. B 104, 035131 (2021).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Xing, Y. et al. Optical manipulation of the charge-density-wave state in RbV3Sb5. Nature 631, 60\u201366 (2024).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Kenney, E. M., Ortiz, B. R., Wang, C., Wilson, S. D. & Graf, M. J. Absence of local moments in the kagome metal KV3Sb5 as determined by muon spin spectroscopy. J. Phys. Condens. Matter 33, 235801 (2021).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Nakazawa, S., Tazai, R., Yamakawa, Y., Onari, S. & Kontani, H. Origin of switchable quasiparticle-interference chirality in loop-current phase of kagome metals measured by scanning-tunneling-microscopy. Nat. Commun. 16, 9545 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Mielke, C. et al. Time-reversal symmetry-breaking charge order in a kagome superconductor. Nature 602, 245\u2013250 (2022).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Khasanov, R. et al. Time-reversal symmetry broken by charge order in CsV3Sb5. Phys. Rev. Res. 4, 023244 (2022).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Guo, C. et al. Switchable chiral transport in charge-ordered kagome metal CsV3Sb5. Nature 611, 461\u2013466 (2022).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Li\u00e8ge, W. et al. Search for orbital magnetism in the kagome superconductor CsV3Sb5 using neutron diffraction. Phys. Rev. B 110, 195109 (2024).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Asaba, T. et al. Evidence for an odd-parity nematic phase above the charge-density-wave transition in a kagome metal. Nat. Phys. 20, 40\u201346 (2024).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Gui, H. et al. Probing orbital magnetism of a kagome metal CsV3Sb5 by a tuning fork resonator. Nat. Commun. 16, 4275 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Cheng, Z. J. et al. Broken symmetries associated with a kagome chiral charge order. Nat. Commun. 16, 3782 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Elmers, H. et al. Chirality in the kagome metal CsV3Sb5. Phys. Rev. Lett. 134, 096401 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Huang, J. et al. Magnetic field-induced momentum-dependent symmetry breaking in a kagome superconductor. Nat. Phys. 22, 550\u2013558 (2026).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Yu, F. et al. Concurrence of anomalous Hall effect and charge density wave in a superconducting topological kagome metal. Phys. Rev. B 104, L041103 (2021).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Yang, S.-Y. et al. Giant, unconventional anomalous Hall effect in the metallic frustrated magnet candidate, KV3Sb5. Sci. Adv. 6, eabb6003 (2020).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Xu, Y. et al. Three-state nematicity and magneto-optical Kerr effect in the charge density waves in kagome superconductors. Nat. Phys. 18, 1470\u20131475 (2022).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Guo, C. et al. Distinct switching of chiral transport in the kagome metals KV3Sb5 and CsV3Sb5. npj Quantum Mater. 9, 20 (2024).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Guo, C. et al. Many-body interference in kagome crystals. Nature 647, 68\u201373 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Saykin, D. R. et al. High resolution polar Kerr effect studies of CsV3Sb5: tests for time-reversal symmetry breaking below the charge-order transition. Phys. Rev. Lett. 131, 016901 (2023).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Farhang, C., Wang, J., Ortiz, B. R., Wilson, S. D. & Xia, J. Unconventional specular optical rotation in the charge ordered state of kagome metal CsV3Sb5. Nat. Commun. 14, 5326 (2023).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Liu, S. et al. Impact of tiny Fermi pockets with extremely high mobility on the Hall anomaly in the kagome metal CsV3Sb5. Phys. Rev. Lett. 135, 056502 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Liu, H.-T., Huang, J., Zhou, T. & Huang, W. Constraints on the orbital flux phase in AV3Sb5 from the polar Kerr effect. Phys. Rev. B 111, L041109 (2025).<\/p>\n

Article<\/a>\u00a0
\n ADS<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Tu, Y. et al. Symmetry-broken Kondo screening and zero-energy mode in a kagome superconductor. Nat. Phys. 22, 698\u2013705 (2026).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n

Guo, C. et al. Correlated order at the tipping point in the kagome metal CsV3Sb5. Nat. Phys. 20, 579\u2013584 (2024).<\/p>\n

Article<\/a>\u00a0
\n
\n Google Scholar<\/a>\u00a0\n <\/p>\n","protected":false},"excerpt":{"rendered":"Fulde, P. & Ferrell, R. A. Superconductivity in a strong spin-exchange field. Phys. Rev. 135, A550\u2013A563 (1964). Article\u00a0…\n","protected":false},"author":2,"featured_media":874848,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[24],"tags":[49,48,3881,3673,314,66,3884],"class_list":["post-874847","post","type-post","status-publish","format-standard","has-post-thumbnail","category-physics","tag-ca","tag-canada","tag-electronic-properties-and-materials","tag-general","tag-physics","tag-science","tag-superconducting-properties-and-materials"],"_links":{"self":[{"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/posts\/874847","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/comments?post=874847"}],"version-history":[{"count":0,"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/posts\/874847\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/media\/874848"}],"wp:attachment":[{"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/media?parent=874847"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/categories?post=874847"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.newsbeep.com\/ca\/wp-json\/wp\/v2\/tags?post=874847"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}