- Open Access
Chiral Phonons Arising from Chirality-Selective Magnon-Phonon Coupling
Phys. Rev. Lett. 135, 216701 – Published 17 November, 2025
DOI: https://doi.org/10.1103/j7bs-2zbx
Abstract
Chiral phonons are desirable for applications in spintronics but their generation and control remains a challenge. Here we demonstrate the emergence of truly chiral phonons from selective magnon-phonon coupling in inversion-symmetric magnetic systems. Considering bcc Fe as an example, we quantitatively calculate hybridized magnon-phonon quasiparticle states across the entire Brillouin zone utilizing first-principles calculations. Our findings challenge conventional magnetoelastic interpretations and reveal finite zero-point phonon angular momentum and strong anomalous thermal Hall responses linked to finite (spin) Berry curvatures. Our results further establish that the existence of chiral phonons, particularly along high-symmetry directions, is common in many magnetic materials, offering promising avenues for novel spintronic and phononic devices.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (79)
- R. S. Cahn, C. Ingold, and V. Prelog, Specification of molecular chirality, Angew. Chem., Int. Ed. Engl. 5, 385 (1966).
- S.-Y. Xu et al., Discovery of a Weyl fermion semimetal and topological Fermi arcs, Science 349, 613 (2015).
- G. Chang, B. J. Wieder, F. Schindler, D. S. Sanchez, I. Belopolski, S.-M. Huang, B. Singh, D. Wu, T.-R. Chang, T. Neupert, S.-Y. Xu, H. Lin, and M. Z. Hasan, Topological quantum properties of chiral crystals, Nat. Mater. 17, 978 (2018).
- B. Roessli, P. Böni, W. E. Fischer, and Y. Endoh, Chiral fluctuations in MnSi above the Curie temperature, Phys. Rev. Lett. 88, 237204 (2002).
- R. Lebrun, A. Ross, S. A. Bender, A. Qaiumzadeh, L. Baldrati, J. Cramer, A. Brataas, R. A. Duine, and M. Kläui, Tunable long-distance spin transport in a crystalline antiferromagnetic iron oxide, Nature (London) 561, 222 (2018).
- Y. Nambu, J. Barker, Y. Okino, T. Kikkawa, Y. Shiomi, M. Enderle, T. Weber, B. Winn, M. Graves-Brook, J. M. Tranquada, T. Ziman, M. Fujita, G. E. W. Bauer, E. Saitoh, and K. Kakurai, Observation of magnon polarization, Phys. Rev. Lett. 125, 027201 (2020).
- Y. Liu, Z. Xu, L. Liu, K. Zhang, Y. Meng, Y. Sun, P. Gao, H.-W. Zhao, Q. Niu, and J. Li, Switching magnon chirality in artificial ferrimagnet, Nat. Commun. 13, 1264 (2022).
- L. Šmejkal, A. Marmodoro, K.-H. Ahn, R. González-Hernández, I. Turek, S. Mankovsky, H. Ebert, S. W. D’Souza, O. Šipr, J. Sinova, and T. Jungwirth, Chiral magnons in altermagnetic , Phys. Rev. Lett. 131, 256703 (2023).
- L. Zhang and Q. Niu, Chiral phonons at high-symmetry points in monolayer hexagonal lattices, Phys. Rev. Lett. 115, 115502 (2015).
- H. Zhu, J. Yi, M.-Y. Li, J. Xiao, L. Zhang, C.-W. Yang, R. A. Kaindl, L.-J. Li, Y. Wang, and X. Zhang, Observation of chiral phonons, Science 359, 579 (2018).
- D. M. Juraschek and N. A. Spaldin, Orbital magnetic moments of phonons, Phys. Rev. Mater. 3, 064405 (2019).
- T. Wang, H. Sun, X. Li, and L. Zhang, Chiral phonons: Prediction, verification, and application, Nano Lett. 24, 4311 (2024).
- H. Chen, W. Zhang, Q. Niu, and L. Zhang, Chiral phonons in two-dimensional materials, 2D Mater. 6, 012002 (2018).
- L. Zhang and Q. Niu, Angular momentum of phonons and the Einstein–de Haas effect, Phys. Rev. Lett. 112, 085503 (2014).
- C. Strohm, G. L. J. A. Rikken, and P. Wyder, Phenomenological evidence for the phonon Hall effect, Phys. Rev. Lett. 95, 155901 (2005).
- G. Grissonnanche, S. Thériault, A. Gourgout, M.-E. Boulanger, E. Lefrançois, A. Ataei, F. Laliberté, M. Dion, J.-S. Zhou, S. Pyon, T. Takayama, H. Takagi, N. Doiron-Leyraud, and L. Taillefer, Chiral phonons in the pseudogap phase of cuprates, Nat. Phys. 16, 1108 (2020).
- S. Park and B.-J. Yang, Phonon angular momentum Hall effect, Nano Lett. 20, 7694 (2020).
- B. Flebus and A. H. MacDonald, Phonon Hall viscosity of ionic crystals, Phys. Rev. Lett. 131, 236301 (2023).
- C. Dornes et al., The ultrafast Einstein–de Haas effect, Nature (London) 565, 209 (2019).
- S. R. Tauchert, M. Volkov, D. Ehberger, D. Kazenwadel, M. Evers, H. Lange, A. Donges, A. Book, W. Kreuzpaintner, U. Nowak, and P. Baum, Polarized phonons carry angular momentum in ultrafast demagnetization, Nature (London) 602, 73 (2022).
- J. Luo, T. Lin, J. Zhang, X. Chen, E. R. Blackert, R. Xu, B. I. Yakobson, and H. Zhu, Large effective magnetic fields from chiral phonons in rare-earth halides, Science 382, 698 (2023).
- C. S. Davies, F. G. N. Fennema, A. Tsukamoto, I. Razdolski, A. V. Kimel, and A. Kirilyuk, Phononic switching of magnetization by the ultrafast Barnett effect, Nature (London) 628, 540 (2024).
- J. Holanda, D. S. Maior, A. Azevedo, and S. M. Rezende, Detecting the phonon spin in magnon–phonon conversion experiments, Nat. Phys. 14, 500 (2018).
- D. M. Juraschek, M. Fechner, A. V. Balatsky, and N. A. Spaldin, Dynamical multiferroicity, Phys. Rev. Mater. 1, 014401 (2017).
- Y. Ren, C. Xiao, D. Saparov, and Q. Niu, Phonon magnetic moment from electronic topological magnetization, Phys. Rev. Lett. 127, 186403 (2021).
- M. Basini, M. Pancaldi, B. Wehinger, M. Udina, V. Unikandanunni, T. Tadano, M. C. Hoffmann, A. V. Balatsky, and S. Bonetti, Terahertz electric-field-driven dynamical multiferroicity in , Nature (London) 628, 534 (2024).
- S.-W. Cheong and X. Xu, Magnetic chirality, npj Quantum Mater. 7, 40 (2022).
- H. Ueda, M. García-Fernández, S. Agrestini, C. P. Romao, J. van den Brink, N. A. Spaldin, K.-J. Zhou, and U. Staub, Chiral phonons in quartz probed by x-rays, Nature (London) 618, 946 (2023).
- L. D. Barron, Molecular Light Scattering and Optical Activity, 2nd ed. (Cambridge University Press, Cambridge, England, 2004).
- D. M. Juraschek et al., Chiral phonons, Nat. Phys. 21, 1532 (2025).
- K. Ishito, H. Mao, Y. Kousaka, Y. Togawa, S. Iwasaki, T. Zhang, S. Murakami, J.-i. Kishine, and T. Satoh, Truly chiral phonons in , Nat. Phys. 19, 35 (2023).
- K. Ishito, H. Mao, K. Kobayashi, Y. Kousaka, Y. Togawa, H. Kusunose, J.-i. Kishine, and T. Satoh, Chiral phonons: Circularly polarized Raman spectroscopy and ab initio calculations in a chiral crystal tellurium, Chirality 35, 338 (2023).
- K. Kim, E. Vetter, L. Yan, C. Yang, Z. Wang, R. Sun, Y. Yang, A. H. Comstock, X. Li, J. Zhou, L. Zhang, W. You, D. Sun, and J. Liu, Chiral-phonon-activated spin Seebeck effect, Nat. Mater. 22, 322 (2023).
- K. Ohe, H. Shishido, M. Kato, S. Utsumi, H. Matsuura, and Y. Togawa, Chirality-induced selectivity of phonon angular momenta in chiral quartz crystals, Phys. Rev. Lett. 132, 056302 (2024).
- H. Zhang, N. Peshcherenko, F. Yang, T. Z. Ward, P. Raghuvanshi, L. Lindsay, C. Felser, Y. Zhang, J.-Q. Yan, and H. Miao, Measurement of phonon angular momentum, Nat. Phys. 21, 1387 (2025).
- J. Hellsvik, D. Thonig, K. Modin, D. Iuşan, A. Bergman, O. Eriksson, L. Bergqvist, and A. Delin, General method for atomistic spin-lattice dynamics with first-principles accuracy, Phys. Rev. B 99, 104302 (2019).
- S. Mankovsky, S. Polesya, H. Lange, M. Weißenhofer, U. Nowak, and H. Ebert, Angular momentum transfer via relativistic spin-lattice coupling from first principles, Phys. Rev. Lett. 129, 067202 (2022).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/j7bs-2zbx for the derivation of the phonon angular momentum and the magnon-phonon Hamiltonian, the bare band structures, the results for phonon angular momentum and chirality in other planes of the BZ, a summary of Colpa’s method, and a proof that .
- S. Coh, Classification of materials with phonon angular momentum and microscopic origin of angular momentum, Phys. Rev. B 108, 134307 (2023).
- S. Ren, J. Bonini, M. Stengel, C. E. Dreyer, and D. Vanderbilt, Adiabatic dynamics of coupled spins and phonons in magnetic insulators, Phys. Rev. X 14, 011041 (2024).
We use the term bare modes to describe phonon or magnon modes in the absence of spin-lattice coupling.
- U. Nowak, Classical spin models, in Handbook of Magnetism and Advanced Magnetic Materials, edited by H. Kronmüller and S. Parkin (John Wiley & Sons, Ltd, New York, 2007).
- H. Lange, S. Mankovsky, S. Polesya, M. Weißenhofer, U. Nowak, and H. Ebert, Calculating spin-lattice interactions in ferro- and antiferromagnets: The role of symmetry, dimension, and frustration, Phys. Rev. B 107, 115176 (2023).
- S. Mankovsky, H. Lange, S. Polesya, and H. Ebert, Spin-lattice interaction parameters from first principles: Theory and implementation, Phys. Rev. B 107, 144428 (2023).
- I. P. Miranda, M. Pankratova, M. Weißenhofer, A. B. Klautau, D. Thonig, M. Pereiro, E. Sjöqvist, A. Delin, M. I. Katsnelson, O. Eriksson, and A. Bergman, Spin-lattice couplings in ferromagnets: Analysis from first-principles, Phys. Rev. Mater. 9, 024409 (2025).
- T. Kahana, D. A. B. Lopez, and D. M. Juraschek, Light-induced magnetization from magnonic rectification, Sci. Adv. 10, eado0722 (2024).
- C. A. Mead and D. G. Truhlar, On the determination of Born-Oppenheimer nuclear motion wave functions including complications due to conical intersections and identical nuclei, J. Chem. Phys. 70, 2284 (1979).
- M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Oxford University Press, New York, 1996), 10.1093/oso/9780192670083.001.0001.
- L. Zhang, J. Ren, J.-S. Wang, and B. Li, The phonon Hall effect: Theory and application, J. Phys. Condens. Matter 23, 305402 (2011).
- T. Holstein and H. Primakoff, Field dependence of the intrinsic domain magnetization of a ferromagnet, Phys. Rev. 58, 1098 (1940).
- O. N. Mryasov, A. J. Freeman, and A. I. Liechtenstein, Theory of non-Heisenberg exchange: Results for localized and itinerant magnets, J. Appl. Phys. 79, 4805 (1996).
- I. Razdolski, A. Alekhin, N. Ilin, J. P. Meyburg, V. Roddatis, D. Diesing, U. Bovensiepen, and A. Melnikov, Nanoscale interface confinement of ultrafast spin transfer torque driving non-uniform spin dynamics, Nat. Commun. 8, 15007 (2017).
- P. Giannozzi et al., quantum espresso: A modular and open-source software project for quantum simulations of materials, J. Phys. Condens. Matter 21, 395502 (2009).
- P. Giannozzi et al., Advanced capabilities for materials modelling with quantum espresso, J. Phys. Condens. Matter 29, 465901 (2017).
- J. Colpa, Diagonalization of the quadratic boson Hamiltonian, Physica (Amsterdam) 93A, 327 (1978).
- Y. Li, C. Zhao, W. Zhang, A. Hoffmann, and V. Novosad, Advances in coherent coupling between magnons and acoustic phonons, APL Mater. 9, 060902 (2021).
- C. Kittel, Physical theory of ferromagnetic domains, Rev. Mod. Phys. 21, 541 (1949).
- M. Weißenhofer, H. Lange, A. Kamra, S. Mankovsky, S. Polesya, H. Ebert, and U. Nowak, Rotationally invariant formulation of spin-lattice coupling in multiscale modeling, Phys. Rev. B 108, L060404 (2023).
- R. M. White, M. Sparks, and I. Ortenburger, Diagonalization of the antiferromagnetic magnon-phonon interaction, Phys. Rev. 139, A450 (1965).
- A. Rückriegel, P. Kopietz, D. A. Bozhko, A. A. Serga, and B. Hillebrands, Magnetoelastic modes and lifetime of magnons in thin yttrium iron garnet films, Phys. Rev. B 89, 184413 (2014).
- A. Kamra, H. Keshtgar, P. Yan, and G. E. W. Bauer, Coherent elastic excitation of spin waves, Phys. Rev. B 91, 104409 (2015).
- S. Streib, N. Vidal-Silva, K. Shen, and G. E. W. Bauer, Magnon-phonon interactions in magnetic insulators, Phys. Rev. B 99, 184442 (2019).
- A. G. Gurevich and G. A. Melkov, Magnetization Oscillations and Waves (CRC Press, London, 2020).
Classically, a spin in a magnetic field precesses as ; i.e., it follows a counterclockwise motion.
- J. Cui, E. V. Boström, M. Ozerov, F. Wu, Q. Jiang, J.-H. Chu, C. Li, F. Liu, X. Xu, A. Rubio, and Q. Zhang, Chirality selective magnon-phonon hybridization and magnon-induced chiral phonons in a layered zigzag antiferromagnet, Nat. Commun. 14, 3396 (2023).
- M. S. Dresselhaus, G. Dresselhaus, and A. Jorio, Group Theory: Application to the Physics of Condensed Matter (Springer Berlin, Heidelberg, 2008).
- R. F. L. Evans, W. J. Fan, P. Chureemart, T. A. Ostler, M. O. A. Ellis, and R. W. Chantrell, Atomistic spin model simulations of magnetic nanomaterials, J. Phys. Condens. Matter 26, 103202 (2014).
A minimum of is needed to shift the bare magnons energies above those of the bare TA phonons.
- S. Park, N. Nagaosa, and B.-J. Yang, Thermal Hall effect, spin Nernst effect, and spin density induced by a thermal gradient in collinear ferrimagnets from magnon-phonon interaction, Nano Lett. 20, 2741 (2020).
- J. N. Kløgetvedt and A. Qaiumzadeh, Tunable topological magnon-polaron states and intrinsic anomalous Hall phenomena in two-dimensional ferromagnetic insulators, Phys. Rev. B 108, 224424 (2023).
- S. Bao, Z.-L. Gu, Y. Shangguan, Z. Huang, J. Liao, X. Zhao, B. Zhang, Z.-Y. Dong, W. Wang, R. Kajimoto, M. Nakamura, T. Fennell, S.-L. Yu, J.-X. Li, and J. Wen, Direct observation of topological magnon polarons in a multiferroic material, Nat. Commun. 14, 6093 (2023).
- A. Mook, J. Henk, and I. Mertig, Thermal Hall effect in noncollinear coplanar insulating antiferromagnets, Phys. Rev. B 99, 014427 (2019).
- C.-Z. Chang, C.-X. Liu, and A. H. MacDonald, Colloquium: Quantum anomalous Hall effect, Rev. Mod. Phys. 95, 011002 (2023).
- L. Zhang, Berry curvature and various thermal Hall effects, New J. Phys. 18, 103039 (2016).
- R. Matsumoto, R. Shindou, and S. Murakami, Thermal Hall effect of magnons in magnets with dipolar interaction, Phys. Rev. B 89, 054420 (2014).
- S. Murakami and A. Okamoto, Thermal Hall effect of magnons, J. Phys. Soc. Jpn. 86, 011010 (2017).
- X.-T. Zhang, Y. H. Gao, and G. Chen, Thermal Hall effects in quantum magnets, Phys. Rep. 1070, 1 (2024).
- G. Go and S. K. Kim, Tunable large spin Nernst effect in a two-dimensional magnetic bilayer, Phys. Rev. B 106, 125103 (2022).
- B. Li, S. Sandhoefner, and A. A. Kovalev, Intrinsic spin Nernst effect of magnons in a noncollinear antiferromagnet, Phys. Rev. Res. 2, 013079 (2020).