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The phonon thermal Hall angle in black phosphorus

Author

Listed:
  • Xiaokang Li

    (Huazhong University of Science and Technology)

  • Yo Machida

    (Gakushuin University)

  • Alaska Subedi

    (Université Paris-Saclay
    Collège de France)

  • Zengwei Zhu

    (Huazhong University of Science and Technology)

  • Liang Li

    (Huazhong University of Science and Technology)

  • Kamran Behnia

    (PSL Research University)

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.

Suggested Citation

  • Xiaokang Li & Yo Machida & Alaska Subedi & Zengwei Zhu & Liang Li & Kamran Behnia, 2023. "The phonon thermal Hall angle in black phosphorus," Nature Communications, Nature, vol. 14(1), pages 1-6, December.
    • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-36750-3
    DOI: 10.1038/s41467-023-36750-3
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    References listed on IDEAS

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    1. Y. Kasahara & T. Ohnishi & Y. Mizukami & O. Tanaka & Sixiao Ma & K. Sugii & N. Kurita & H. Tanaka & J. Nasu & Y. Motome & T. Shibauchi & Y. Matsuda, 2018. "Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid," Nature, Nature, vol. 559(7713), pages 227-231, July.
    2. Taiki Uehara & Takumi Ohtsuki & Masafumi Udagawa & Satoru Nakatsuji & Yo Machida, 2022. "Phonon thermal Hall effect in a metallic spin ice," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    3. Bijay Agarwalla & Lifa Zhang & Jian-Sheng Wang & Baowen Li, 2011. "Phonon Hall effect in ionic crystals in the presence of static magnetic field," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 81(2), pages 197-202, May.
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