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

作　　者：王安新 秦涛 Anxin Wang;Tao Qin(School of Physics and Optoelectronics Engineering,Anhui University,Hefei 230601,China)

机构地区：[1]School of Physics and Optoelectronics Engineering,Anhui University,Hefei 230601,China

出　　处：《Chinese Physics B》2023年第10期579-584,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. U2032164 and 12174394);the Start-up Fund from Anhui University in China。

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 φ= 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 

分 类 号：O469[理学—凝聚态物理]