The phonon thermal Hall angle in black phosphorus

Xiaokang Li (), Yo Machida, Alaska Subedi, Zengwei Zhu (), Liang Li and Kamran Behnia ()
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Xiaokang Li: Huazhong University of Science and Technology
Yo Machida: Gakushuin University
Alaska Subedi: Université Paris-Saclay
Zengwei Zhu: Huazhong University of Science and Technology
Liang Li: Huazhong University of Science and Technology
Kamran Behnia: PSL Research University

Nature Communications, 2023, vol. 14, issue 1, 1-6

Abstract: Abstract The origin of phonon thermal Hall Effect (THE) observed in a variety of insulators is yet to be identified. Here, we report on the observation of a thermal Hall conductivity in a non-magnetic elemental insulator, with an amplitude exceeding what has been previously observed. In black phosphorus (BP), the longitudinal (κii), and the transverse, κij, thermal conductivities peak at the same temperature and at this peak temperature, the κij/κjj/B is ≈ 10−4−10−3 T−1. Both these features are shared by other insulators displaying THE, despite an absolute amplitude spreading over three orders of magnitude. The absence of correlation between the thermal Hall angle and the phonon mean-free-path imposes a severe constraint for theoretical scenarios of THE. We show that in BP a longitudinal and a transverse acoustic phonon mode anti-cross, facilitating wave-like transport across modes. The anisotropic charge distribution surrounding atomic bonds can pave the way for coupling between phonons and the magnetic field.

Date: 2023
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DOI: 10.1038/s41467-023-36750-3

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