Thermal Hall effect and the Wiedemann-Franz law in Chern insulator

doi:10.1088/1674-1056/ace158

中国物理B ›› 2023, Vol. 32 ›› Issue (10): 107301-107301.doi: 10.1088/1674-1056/ace158

Thermal Hall effect and the Wiedemann-Franz law in Chern insulator

Anxin Wang(王安新) and Tao Qin(秦涛)^†

School of Physics and Optoelectronics Engineering, Anhui University, Hefei 230601, China

收稿日期:2023-03-19 修回日期:2023-06-12 接受日期:2023-06-25 出版日期:2023-09-21 发布日期:2023-09-27
通讯作者: Tao Qin E-mail:taoqin@ahu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. U2032164 and 12174394) and the Start-up Fund from Anhui University in China.

Thermal Hall effect and the Wiedemann-Franz law in Chern insulator

Anxin Wang(王安新) and Tao Qin(秦涛)^†

School of Physics and Optoelectronics Engineering, Anhui University, Hefei 230601, China

Received:2023-03-19 Revised:2023-06-12 Accepted:2023-06-25 Online:2023-09-21 Published:2023-09-27
Contact: Tao Qin E-mail:taoqin@ahu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. U2032164 and 12174394) and the Start-up Fund from Anhui University in China.

摘要/Abstract

摘要： Thermal Hall effect, where a transverse temperature difference is generated by implementing a longitudinal temperature gradient and an external magnetic field in the perpendicular direction to systems, is a useful tool to reveal transport properties of quantum materials. A systematic study of the thermal Hall effect in a Chern insulator is still lacking. Here, using the Landauer-Büttiker formula, we investigated the thermal Hall transport of the Harper-Hofstadter model with flux $\varphi$=1/2 and its generalizations. We demonstrated that the Wiedemann-Franz law, which states that the thermal Hall conductivity is linearly proportional to the quantum Hall conductivity in the low temperature limit, is still valid in this Chern insulator, and that the thermal Hall conductivity can be used to characterize the topological properties of quantum materials.

关键词: thermal Hall effect, quantum Hall effect, Chern insulator, Landauer-Büttike formula

Abstract: Thermal Hall effect, where a transverse temperature difference is generated by implementing a longitudinal temperature gradient and an external magnetic field in the perpendicular direction to systems, is a useful tool to reveal transport properties of quantum materials. A systematic study of the thermal Hall effect in a Chern insulator is still lacking. Here, using the Landauer-Büttiker formula, we investigated the thermal Hall transport of the Harper-Hofstadter model with flux $\varphi$=1/2 and its generalizations. We demonstrated that the Wiedemann-Franz law, which states that the thermal Hall conductivity is linearly proportional to the quantum Hall conductivity in the low temperature limit, is still valid in this Chern insulator, and that the thermal Hall conductivity can be used to characterize the topological properties of quantum materials.

Key words: thermal Hall effect, quantum Hall effect, Chern insulator, Landauer-Büttike formula

中图分类号: (Electronic structure of nanoscale materials and related systems)

73.22.-f

73.43.-f (Quantum Hall effects) 73.63.-b (Electronic transport in nanoscale materials and structures)

Anxin Wang(王安新) and Tao Qin(秦涛). Thermal Hall effect and the Wiedemann-Franz law in Chern insulator[J]. 中国物理B, 2023, 32(10): 107301-107301.

Anxin Wang(王安新) and Tao Qin(秦涛). Thermal Hall effect and the Wiedemann-Franz law in Chern insulator[J]. Chin. Phys. B, 2023, 32(10): 107301-107301.

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Thermal Hall effect and the Wiedemann-Franz law in Chern insulator

Thermal Hall effect and the Wiedemann-Franz law in Chern insulator

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