Spinor Boltzmann equation with Berry curvature

IF 1.6 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER
Xiao-Tong Xu, Ya-Ru Wang, Chao Yang, Zheng-Chuan Wang
{"title":"Spinor Boltzmann equation with Berry curvature","authors":"Xiao-Tong Xu,&nbsp;Ya-Ru Wang,&nbsp;Chao Yang,&nbsp;Zheng-Chuan Wang","doi":"10.1140/epjb/s10051-024-00811-3","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we study the influence of Berry curvature on spin-dependent transport in the system with spin-orbit coupling. The interaction of spin-orbit coupling in ferromagnets will induce a non-zero Berry curvature by breaking the time-reversal symmetry, which has effect on both charge and spin transport processes. We introduce the Berry curvature into spinor Boltzmann equation by modifying the effective velocity of electron, then derive the Berry curvature-concerned expressions for spin accumulation, spin current, and charge current, and investigate the influence of Berry curvature on the transport process. Comparisons are also made with the spinor Boltzmann equations which includes Rashba spin-orbit coupling but without Berry curvature.</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"97 11","pages":""},"PeriodicalIF":1.6000,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal B","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjb/s10051-024-00811-3","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, CONDENSED MATTER","Score":null,"Total":0}
引用次数: 0

Abstract

In this paper, we study the influence of Berry curvature on spin-dependent transport in the system with spin-orbit coupling. The interaction of spin-orbit coupling in ferromagnets will induce a non-zero Berry curvature by breaking the time-reversal symmetry, which has effect on both charge and spin transport processes. We introduce the Berry curvature into spinor Boltzmann equation by modifying the effective velocity of electron, then derive the Berry curvature-concerned expressions for spin accumulation, spin current, and charge current, and investigate the influence of Berry curvature on the transport process. Comparisons are also made with the spinor Boltzmann equations which includes Rashba spin-orbit coupling but without Berry curvature.

具有贝里曲率的旋光波兹曼方程
本文研究了自旋轨道耦合系统中贝里曲率对自旋输运的影响。铁磁体中自旋轨道耦合的相互作用会打破时间反转对称性,从而诱发非零贝里曲率,这对电荷和自旋输运过程都有影响。我们通过修改电子的有效速度将贝里曲率引入自旋玻尔兹曼方程,然后推导出与贝里曲率有关的自旋累积、自旋电流和电荷电流表达式,并研究了贝里曲率对传输过程的影响。此外,还与包含拉什巴自旋轨道耦合但没有贝里曲率的自旋玻尔兹曼方程进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
The European Physical Journal B
The European Physical Journal B 物理-物理:凝聚态物理
CiteScore
2.80
自引率
6.20%
发文量
184
审稿时长
5.1 months
期刊介绍: Solid State and Materials; Mesoscopic and Nanoscale Systems; Computational Methods; Statistical and Nonlinear Physics
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信