Zhang, L. & Niu, Q. Chiral phonons at high-symmetry points in monolayer hexagonal lattices. Phys. Rev. Lett. 115, 115502 (2015).
Zhu, H. et al. Observation of chiral phonons. Science 359, 579–582 (2018).
Grissonnanche, G. et al. Giant thermal Hall conductivity in the pseudogap phase of cuprate superconductors. Nature 571, 376–380 (2019).
Grissonnanche, G. et al. Chiral phonons in the pseudogap phase of cuprates. Nat. Phys. 16, 1108–1111 (2020).
Li, X., Fauqué, B., Zhu, Z. & Behnia, K. Phonon thermal Hall effect in strontium titanate. Phys. Rev. Lett. 124, 105901 (2020).
Juraschek, D. M., Fechner, M., Balatsky, A. V. & Spaldin, N. A. Dynamical multiferroicity. Phys. Rev. Mater. 1, 014401 (2017).
Cheng, B. et al. A large effective phonon magnetic moment in a Dirac semimetal. Nano Lett. 20, 5991–5996 (2020).
Baydin, A. et al. Magnetic control of soft chiral phonons in PbTe. Phys. Rev. Lett. 128, 075901 (2022).
Hernandez, F. G. G. et al. Observation of interplay between phonon chirality and electronic band topology. Sci. Adv. 9, eadj407 (2023).
Mustafa, H. et al. Origin of large effective phonon magnetic moments in monolayer MoS2. ACS Nano 19, 11241–11248 (2025).
Wu, F. et al. Fluctuation-enhanced phonon magnetic moments in a polar antiferromagnet. Nat. Phys. 19, 1868–1875 (2023).
Lujan, D. et al. Spin–orbit exciton-induced phonon chirality in a quantum magnet. Proc. Natl Acad. Sci. USA 121, e2304360121 (2024).
Mai, T. T. et al. Spin-orbital–lattice coupling and the phonon Zeeman effect in the Dirac honeycomb magnet CoTiO3. Phys. Rev. B 111, 104419 (2025).
Chen, L. et al. Planar thermal Hall effect from phonons in a Kitaev candidate material. Nat. Commun. 15, 3513 (2024).
Che, M. et al. Magnetic order induced chiral phonons in a ferromagnetic Weyl semimetal. Phys. Rev. Lett. 134, 196906 (2025).
Zhang, L. & Niu, Q. Angular momentum of phonons and the Einstein–de Haas Effect. Phys. Rev. Lett. 112, 085503 (2014).
Dornes, C. et al. The ultrafast Einstein-de Haas effect. Nature 565, 209–212 (2019).
Tauchert, S. R. et al. Polarized phonons carry angular momentum in ultrafast demagnetization. Nature 602, 73–77 (2022).
Choi, I. H. et al. Real-time dynamics of angular momentum transfer from spin to acoustic chiral phonon in oxide heterostructures. Nat. Nanotechnol. 19, 1277–1282 (2024).
Nova, T. F. et al. An effective magnetic field from optically driven phonons. Nat. Phys. 13, 132–136 (2017).
Juraschek, D. M., Narang, P. & Spaldin, N. A. Phono-magnetic analogs to opto-magnetic effects. Phys. Rev. Res. 2, 043035 (2020).
Juraschek, D. M., Neuman, T. & Narang, P. Giant effective magnetic fields from optically driven chiral phonons in 4f paramagnets. Phys. Rev. Res. 4, 013129 (2022).
Geilhufe, R. M., Juričić, V., Bonetti, S., Zhu, J.-X. & Balatsky, A. V. Dynamically induced magnetism in KTaO3. Phys. Rev. Res. 3, L022011 (2021).
Luo, J. et al. Large effective magnetic fields from chiral phonons in rare-earth halides. Science 382, 698–702 (2023).
Basini, M. et al. Terahertz electric-field-driven dynamical multiferroicity in SrTiO3. Nature 628, 534–539 (2024).
Davies, C. S. et al. Phononic switching of magnetization by the ultrafast Barnett effect. Nature 628, 540–544 (2024).
Ishito, K. et al. Truly chiral phonons in α-HgS. Nat. Phys. 19, 35–39 (2023).
Ishito, K. et al. Chiral phonons: circularly polarized Raman spectroscopy and ab initio calculations in a chiral crystal tellurium. Chirality 35, 338–345 (2023).
Ueda, H. et al. Chiral phonons in quartz probed by X-rays. Nature 618, 946–950 (2023).
Romao, C. P. & Juraschek, D. M. Phonon-induced geometric chirality. ACS Nano 18, 29550–29557 (2024).
Barron, L. D. Molecular Light Scattering and Optical Activity 2nd edn (Cambridge Univ. Press, 2004).
Coh, S. Classification of materials with phonon angular momentum and microscopic origin of angular momentum. Phys. Rev. B 108, 134307 (2023).
Zhang, T. & Murakami, S. Chiral phonons and pseudoangular momentum in nonsymmorphic systems. Phys. Rev. Res. 4, L012024 (2022).
Zhang, S. et al. Comprehensive study of phonon chirality under symmetry constraints. Preprint at https://arxiv.org/abs/2503.22794 (2025).
Fava, M., McCabe, E., Romero, A. H. & Bousquet, E. Phonon-driven mechanism for the chiral phase transition of K3NiO2. Phys. Rev. B 111, 174102 (2025).
Zhang, S., Luo, K. & Zhang, T. Understanding chiral charge-density wave by frozen chiral phonon. npj Comput. Mater. 10, 264 (2024).
Zeng, Z. et al. Photo-induced chirality in a non-chiral crystal. Science 387, 431–436 (2025).
Inda, A., Oiwa, R., Hayami, S., Yamamoto, H. M. & Kusunose, H. Quantification of chirality based on electric toroidal monopole. J. Chem. Phys. 160, 184117 (2024).
Rostami, H., Guinea, F. & Cappelluti, E. Strain-driven chiral phonons in two-dimensional hexagonal materials. Phys. Rev. B 105, 195431 (2022).
Cappelluti, E., Silva-Guillén, J. A., Rostami, H. & Guinea, F. Flat-band optical phonons in twisted bilayer graphene. Phys. Rev. B 108, 125401 (2023).
Parlak, S., Ghosh, S. & Garate, I. Detection of phonon helicity in nonchiral crystals with Raman scattering. Phys. Rev. B 107, 104308 (2023).
Boulanger, M.-E. et al. Thermal Hall conductivity in the cuprate Mott insulators Nd2CuO4 and Sr2CuO2Cl2. Nat. Commun. 11, 5325 (2020).
Flebus, B. & MacDonald, A. H. Charged defects and phonon Hall effects in ionic crystals. Phys. Rev. B 105, L220301 (2022).
Oh, T. & Nagaosa, N. Phonon thermal Hall effect in Mott insulators via skew-scattering by the scalar spin chirality. Phys. Rev. X 15, 11036 (2024).
Zhang, L., Ren, J., Wang, J. S. & Li, B. Topological nature of the phonon Hall effect. Phys. Rev. Lett. 105, 225901 (2010).
Flebus, B. & MacDonald, A. H. Phonon Hall viscosity of ionic crystals. Phys. Rev. Lett. 131, 236301 (2023).
Park, S. & Yang, B.-J. Phonon angular momentum Hall effect. Nano Lett. 20, 7694–7699 (2020).
Hamada, M., Minamitani, E., Hirayama, M. & Murakami, S. Phonon angular momentum induced by the temperature gradient. Phys. Rev. Lett. 121, 175301 (2018).
Chen, H. et al. Chiral phonon diode effect in chiral crystals. Nano Lett. 22, 1688–1693 (2022).
Kim, K. et al. Chiral-phonon-activated spin Seebeck effect. Nat. Mater. 22, 322–328 (2023).
Ohe, K. et al. Chirality-induced selectivity of phonon angular momenta in chiral quartz crystals. Phys. Rev. Lett. 132, 056302 (2024).
Funato, T., Matsuo, M. & Kato, T. Chirality-induced phonon-spin conversion at an interface. Phys. Rev. Lett. 132, 236201 (2024).
Yang, C. & Ren, J. Chirality-induced phonon spin selectivity by elastic spin–orbit interaction. Proc. Natl Acad. Sci. USA 121, e2411427121 (2024).
Bloom, B. P., Paltiel, Y., Naaman, R. & Waldeck, D. H. Chiral induced spin selectivity. Chem. Rev. 124, 1950–1991 (2024).
Korenev, V. L. et al. Long-range p-d exchange interaction in a ferromagnet-semiconductor hybrid structure. Nat. Phys. 12, 85–91 (2016).
Jeong, S. G. et al. Unconventional interlayer exchange coupling via chiral phonons in synthetic magnetic oxide heterostructures. Sci. Adv. 8, eabm4005 (2022).
Romao, C. P. Anomalous thermal expansion and chiral phonons in BiB3O6. Phys. Rev. B 100, 060302 (2019).
Mentink, J. H., Katsnelson, M. I. & Lemeshko, M. Quantum many-body dynamics of the Einstein-de Haas effect. Phys. Rev. B 99, 064428 (2019).
Mankovsky, S. et al. Angular momentum transfer via relativistic spin-lattice coupling from first principles. Phys. Rev. Lett. 129, 067202 (2022).
Weißenhofer, M. et al. Rotationally invariant formulation of spin-lattice coupling in multi-scale modeling. Phys. Rev. B 108, L060404 (2023).
Shokeen, V. et al. Real-time observation of non-equilibrium phonon-electron energy and angular momentum flow in laser-heated nickel. Sci. Adv. 10, eadj2407 (2024).
Gao, L., Prokhorenko, S., Nahas, Y. & Bellaiche, L. Dynamical multiferroicity and magnetic topological structures induced by the orbital angular momentum of light in a nonmagnetic material. Phys. Rev. Lett. 131, 196801 (2023).
Shabala, N. & Geilhufe, R. M. Phonon inverse Faraday effect from electron-phonon coupling. Phys. Rev. Lett. 133, 266702 (2024).
Minakova, O. et al. Direct observation of angular momentum transfer among crystal lattice modes. Preprint at https://arxiv.org/abs/2503.11626 (2025).
Chaudhary, S., Juraschek, D. M., Rodriguez-Vega, M. & Fiete, G. A. Giant effective magnetic moments of chiral phonons from orbit-lattice coupling. Phys. Rev. B 110, 094401 (2024).
Kusunose, H., Kishine, J. & Yamamoto, H. M. Emergence of chirality from electron spins, physical fields, and material-field composites. Appl. Phys. Lett. 124, 260501 (2024).
Zhang, T. et al. Weyl phonons in chiral crystals. Nano Lett. 23, 7561–7567 (2023).
Zhang, X.-W., Ren, Y., Wang, C., Cao, T. & Xiao, D. Gate-tunable phonon magnetic moment in bilayer graphene. Phys. Rev. Lett. 130, 226302 (2023).
Klebl, L. et al. Ultrafast pseudomagnetic fields from electron-nuclear quantum geometry. Phys. Rev. Lett. 134, 016705 (2025).
Bonini, J. et al. Frequency splitting of chiral phonons from broken time-reversal symmetry in CrI3. Phys. Rev. Lett. 130, 086701 (2023).
Ren, S., Bonini, J., Stengel, M., Dreyer, C. E. & Vanderbilt, D. Adiabatic dynamics of coupled spins and phonons in magnetic insulators. Phys. Rev. X 14, 011041 (2024).
Wu, F. et al. Magnetic switching of phonon angular momentum in a ferrimagnetic insulator. Phys. Rev. Lett. 134, 236701 (2025).
Yang, R. et al. Inherent circular dichroism of phonons in magnetic Weyl semimetal Co3Sn2S2. Phys. Rev. Lett. 134, 196905 (2025).
Juraschek, D. M. & Spaldin, N. A. Orbital magnetic moments of phonons. Phys. Rev. Mater. 3, 064405 (2019).
Ren, Y., Xiao, C., Saparov, D. & Niu, Q. Phonon magnetic moment from electronic topological magnetization. Phys. Rev. Lett. 127, 186403 (2021).
Geilhufe, R. M. Dynamic electron-phonon and spin-phonon interactions due to inertia. Phys. Rev. Res. 4, L012004 (2022).
Fransson, J. Chiral phonon induced spin polarization. Phys. Rev. Res. 5, L022039 (2023).
Yao, D. & Murakami, S. Theory of spin magnetization driven by chiral phonons. Phys. Rev. B 111, 134414 (2025).
Chen, W. et al. Gauge theory of giant phonon magnetic moment in doped Dirac semimetals. Phys. Rev. B 111, 035126 (2025).
Merlin, R. Magnetophononics and the chiral phonon misnomer. PNAS Nexus 4, pgaf002 (2024).
Geilhufe, R. M. & Hergert, W. Electron magnetic moment of transient chiral phonons in KTaO3. Phys. Rev. B 107, L020406 (2023).
Chen, X. et al. Entanglement of single-photons and chiral phonons in atomically thin WSe2. Nat. Phys. 15, 221–227 (2019).