- Letter
- Open Access
Heat conduction in magnetic insulators via hybridization of acoustic phonons and spin-flip excitations
Phys. Rev. Research 7, L022007 – Published 7 April, 2025
DOI: https://doi.org/10.1103/PhysRevResearch.7.L022007
Abstract
We present a comprehensive study on the longitudinal magnetothermal transport in a paramagnetic effective spin-1/2 magnetic insulator , by introducing a minimal model requiring only Zeeman splitting and magnetoelastic coupling. We use it to argue that hybridized excitations—formed from acoustic phonons and localized spin-flip-excitations across the Zeeman gap of the crystal electric field ground doublet—are responsible for a nonmonotonic field dependence of longitudinal thermal conductivity. Beyond highlighting a starring role for phonons, our results raise the prospect of universal magnetothermal transport phenomena in paramagnetic insulators that originate from simple features shared across many systems.
Physics Subject Headings (PhySH)
Article Text
References (28)
- J. Wen, S.-L. Yu, S. Li, W. Yu, and J.-X. Li, Experimental identification of quantum spin liquids, npj Quantum Mater. 4, 12 (2019).
- A. V. Sologubenko, K. Giannó, H. R. Ott, U. Ammerahl, and A. Revcolevschi, Thermal conductivity of the hole-doped spin ladder system , Phys. Rev. Lett. 84, 2714 (2000).
- C. Hess, C. Baumann, U. Ammerahl, B. Büchner, F. Heidrich-Meisner, W. Brenig, and A. Revcolevschi, Magnon heat transport in , Phys. Rev. B 64, 184305 (2001).
- S. Y. Li, L. Taillefer, C. H. Wang, and X. H. Chen, Ballistic magnon transport and phonon scattering in the antiferromagnet , Phys. Rev. Lett. 95, 156603 (2005).
- L. Savary and L. Balents, Quantum spin liquids: A review, Rep. Prog. Phys. 80, 016502 (2017).
- M. Hirschberger, J. W. Krizan, R. J. Cava, and N. P. Ong, Large thermal Hall conductivity of neutral spin excitations in a frustrated quantum magnet, Science 348, 106 (2015).
- D. Watanabe, K. Sugii, M. Shimozawa, Y. Suzuki, T. Yajima, H. Ishikawa, Z. Hiroi, T. Shibauchi, Y. Matsuda, and M. Yamashita, Emergence of nontrivial magnetic excitations in a spin-liquid state of kagom volborthite, Proc. Natl. Acad. Sci. USA 113, 8653 (2016).
- Y. Tokiwa, T. Yamashita, M. Udagawa, S. Kittaka, T. Sakakibara, D. Terazawa, Y. Shimoyama, T. Terashima, Y. Yasui, T. Shibauchi, and Y. Matsuda, Possible observation of highly itinerant quantum magnetic monopoles in the frustrated pyrochlore , Nat. Commun. 7, 10807 (2016).
- Y. Kasahara, T. Ohnishi, Y. Mizukami, O. Tanaka, S. Ma, K. Sugii, N. Kurita, H. Tanaka, J. Nasu, Y. Motome, T. Shibauchi, and Y. Matsuda, Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid, Nature (London) 559, 227 (2018).
- M. Akazawa, M. Shimozawa, S. Kittaka, T. Sakakibara, R. Okuma, Z. Hiroi, H.-Y. Lee, N. Kawashima, J. H. Han, and M. Yamashita, Thermal Hall effects of spins and phonons in kagome antiferromagnet Cd-kapellasite, Phys. Rev. X 10, 041059 (2020).
- X. Hong, M. Gillig, R. Hentrich, W. Yao, V. Kocsis, A. R. Witte, T. Schreiner, D. Baumann, N. Pérez, A. U. B. Wolter, Y. Li, B. Büchner, and C. Hess, Strongly scattered phonon heat transport of the candidate Kitaev material , Phys. Rev. B 104, 144426 (2021).
- Q. Barthélemy, É. Lefrançois, J. Baglo, P. Bourgeois-Hope, D. Chatterjee, P. Lefloïc, M. Velázquez, V. Balédent, B. Bernu, N. Doiron-Leyraud, F. Bert, P. Mendels, and L. Taillefer, Heat conduction in herbertsmithite: Field dependence at the onset of the quantum spin liquid regime, Phys. Rev. B 107, 054434 (2023).
- Y. K. Tsui, C. A. Burns, J. Snyder, and P. Schiffer, Magnetic field induced transitions from spin glass to liquid to long range order in a 3D geometrically frustrated magnet, Phys. Rev. Lett. 82, 3532 (1999).
- I. A. Leahy, C. A. Pocs, P. E. Siegfried, D. Graf, S.-H. Do, K.-Y. Choi, B. Normand, and M. Lee, Anomalous thermal conductivity and magnetic torque response in the honeycomb magnet , Phys. Rev. Lett. 118, 187203 (2017).
- V. G. Bar'yakhtar and E. A. Turov, in Spin Waves and Magnetic Excitations, edited by A. S. Borovik-Romanov and A. K. Sinha, Modern Problems in Condensed Matter Sciences, Vol. 22.2 (North-Holland, Amsterdam, 1988), Chap. 7, pp. 333–380.
- X. Zhang, Y. Zhang, S. Okamoto, and D. Xiao, Thermal Hall effect induced by magnon-phonon interactions, Phys. Rev. Lett. 123, 167202 (2019).
- G. Go, S. K. Kim, and K.-J. Lee, Topological magnon-phonon hybrid excitations in two-dimensional ferromagnets with tunable Chern numbers, Phys. Rev. Lett. 123, 237207 (2019).
- S. Park and B.-J. Yang, Topological magnetoelastic excitations in noncollinear antiferromagnets, Phys. Rev. B 99, 174435 (2019).
- B. Ma and G. A. Fiete, Antiferromagnetic insulators with tunable magnon-polaron Chern numbers induced by in-plane optical phonons, Phys. Rev. B 105, L100402 (2022).
- B. Ma, Z. D. Wang, and G. v. Chen, Chiral phonons induced from spin dynamics via magnetoelastic anisotropy, Phys. Rev. Lett. 133, 246604 (2024).
- N. Li, R. R. Neumann, S. K. Guang, Q. Huang, J. Liu, K. Xia, X. Y. Yue, Y. Sun, Y. Y. Wang, Q. J. Li, Y. Jiang, J. Fang, Z. Jiang, X. Zhao, A. Mook, J. Henk, I. Mertig, H. D. Zhou, and X. F. Sun, Magnon-polaron driven thermal Hall effect in a Heisenberg-Kitaev antiferromagnet, Phys. Rev. B 108, L140402 (2023).
- C. A. Pocs, P. E. Siegfried, J. Xing, A. S. Sefat, M. Hermele, B. Normand, and M. Lee, Systematic extraction of crystal electric-field effects and quantum magnetic model parameters in triangular rare-earth magnets, Phys. Rev. Res. 3, 043202 (2021).
- J. Xing, L. D. Sanjeewa, J. Kim, G. R. Stewart, M.-H. Du, F. A. Reboredo, R. Custelcean, and A. S. Sefat, Crystal synthesis and frustrated magnetism in triangular lattice (RE = La-Lu): Quantum spin liquid candidates and , ACS Materials Lett. 2, 71 (2020).
- J. Xing, L. D. Sanjeewa, J. Kim, G. R. Stewart, A. Podlesnyak, and A. S. Sefat, Field-induced magnetic transition and spin fluctuations in the quantum spin-liquid candidate , Phys. Rev. B 100, 220407(R) (2019).
- R. Berman, Thermal Conduction in Solids (Oxford University Press, Oxford, 1976).
- A. J. Bullen, K. E. O'Hara, D. G. Cahilla, O. Moterio, and A. v. Keudell, Topological magnon-phonon hybrid excitations in two-dimensional ferromagnets with tunable Chern numbers, J. Appl. Phys. 88, 6317 (2000).
- J. K. Kjems, W. Hayes, and S. H. Smith, Wave-vector dependence of the Jahn-Teller interactions in , Phys. Rev. Lett. 35, 1089 (1975).
- C. A. Pocs, I. A. Leahy, J. Xing, E. S. Choi, M. Hermele, A. S. Sefat, and M. Lee, Data for “Heat conduction in magnetic insulators via hybridization of acoustic phonons and spin-flip excitations”, https://doi.org/10.25810/QA19-T327.