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  • Letter

Nonlinear phonon Hall effects in ferroelectrics: Existence and nonvolatile electrical control

Wei Luo1,*, Junyi Ji2,*, Peng Chen1, Yang Xu3, Lifa Zhang4,†, Hongjun Xiang2,5,6,‡, and Laurent Bellaiche1

  • 1Physics Department and Institute for Nanoscience and Engineering, University of Arkansas, Fayetteville, Arkansas 72701, USA
  • 2Key Laboratory of Computational Physical Sciences (Ministry of Education), State Key Laboratory of Surface Physics, and Department of Physics, Fudan University, Shanghai 200433, China
  • 3Key Laboratory of Polar Materials and Devices (MOE), School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China
  • 4Phonon Engineering Research Center of Jiangsu Province, Center for Quantum Transport and Thermal Energy Science, Institute of Physics Frontiers and Interdisciplinary Sciences, School of Physics and Technology, Nanjing Normal University, Nanjing 210023, China
  • 5Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, China
  • 6Shanghai Qi Zhi Institute, Shanghai 200030, China

  • *These authors contributed equally to this work.
  • †Corresponding author: phyzlf@njnu.edu.cn
  • ‡Corresponding author: hxiang@fudan.edu.cn
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Phys. Rev. B 107, L241107 – Published 26 June, 2023

DOI: https://doi.org/10.1103/PhysRevB.107.L241107

Abstract

Nonlinear Hall effects have been previously investigated in noncentrosymmetric systems for electronic systems. However, they only exist in metallic systems and are not compatible with ferroelectrics since these latter are insulators, hence limiting their applications. On the other hand, ferroelectrics naturally break inversion symmetry and can induce a nonzero Berry curvature. Here, we show that a nonvolatile electric-field control of heat current can be realized in ferroelectrics through the nonlinear phonon Hall effects. More precisely, based on the Boltzmann equation under the relaxation-time approximation, we derive the equation for nonlinear phonon Hall effects, and further show that the behaviors of nonlinear Hall effects for phonons (that are bosons) are very different from nonlinear Hall effects for electrons (that are fermions). Our work therefore provides a route for electric-field control of thermal Hall current in ferroelectrics.

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Phys. Rev. B 107, L241107– Published 26 June, 2023
  • Received 15 October 2022
  • Revised 2 January 2023
  • Accepted 13 June 2023
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