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相空间中贝里曲率导致的霍尔效应缺失。

Absence of Hall effect due to Berry curvature in phase space.

作者信息

Yokoyama Takehito

机构信息

Department of Physics, Tokyo Institute of Technology, Tokyo, 152-8551, Japan.

出版信息

Sci Rep. 2021 Jun 8;11(1):12065. doi: 10.1038/s41598-021-91436-4.

Abstract

Transverse current due to Berry curvature in phase space is formulated based on the Boltzmann equations with the semiclassical equations of motion for an electron wave packet. It is shown that the Hall effect due to the phase space Berry curvature is absent because the contributions from "anomalous velocity" and "effective Lorentz force" are completely cancelled out.

摘要

基于具有电子波包半经典运动方程的玻尔兹曼方程,推导了相空间中由贝里曲率引起的横向电流。结果表明,由于“反常速度”和“有效洛伦兹力”的贡献完全抵消,相空间贝里曲率导致的霍尔效应不存在。

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