Semiclassical Scattering by Edge Imperfections in Topological Insulators in a Magnetic Field

IF 1.3 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY JETP Letters Pub Date : 2024-10-29 DOI:10.1134/S0021364024603154
A. S. Dotdaev, Ya. I. Rodionov, A. V. Rozhkov, P. D. Grigoriev
{"title":"Semiclassical Scattering by Edge Imperfections in Topological Insulators in a Magnetic Field","authors":"A. S. Dotdaev,&nbsp;Ya. I. Rodionov,&nbsp;A. V. Rozhkov,&nbsp;P. D. Grigoriev","doi":"10.1134/S0021364024603154","DOIUrl":null,"url":null,"abstract":"<p>We study the scattering of edge states of 2D topological insulator in the uniform external magnetic field due to edge imperfections, common in realistic 2D topological insulator samples. The external magnetic field breaks time-reversal symmetry, opening the possibility of the scattering of otherwise topologically protected fermionic edge states. The scattering happens to be always an over-barrier event, irrespective of the shape of the edge deformation and magnitude of the magnetic field. We use the advanced Pokrovsky–Khalatnikov semiclassical approach, which allows us to obtain analytically both the main exponential and pre-exponential factors of the scattering amplitude for wide classes of analytic deformation profiles.</p>","PeriodicalId":604,"journal":{"name":"JETP Letters","volume":"120 9","pages":"675 - 686"},"PeriodicalIF":1.3000,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1134/S0021364024603154.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"JETP Letters","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S0021364024603154","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

Abstract

We study the scattering of edge states of 2D topological insulator in the uniform external magnetic field due to edge imperfections, common in realistic 2D topological insulator samples. The external magnetic field breaks time-reversal symmetry, opening the possibility of the scattering of otherwise topologically protected fermionic edge states. The scattering happens to be always an over-barrier event, irrespective of the shape of the edge deformation and magnitude of the magnetic field. We use the advanced Pokrovsky–Khalatnikov semiclassical approach, which allows us to obtain analytically both the main exponential and pre-exponential factors of the scattering amplitude for wide classes of analytic deformation profiles.

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
拓扑绝缘体在磁场中的边缘不完善半经典散射
我们研究了二维拓扑绝缘体边缘态在均匀外磁场中因边缘缺陷而产生的散射,这种缺陷在现实的二维拓扑绝缘体样品中很常见。外磁场打破了时间反转对称性,使原本受拓扑保护的费米子边缘态有可能发生散射。无论边缘形变的形状和磁场的大小如何,散射恰好始终是一个过障事件。我们使用了先进的波克罗夫斯基-哈拉特尼科夫半经典方法,通过这种方法,我们可以分析得到散射振幅的主要指数因子和前指数因子,适用于多种类型的解析形变剖面。
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 去求助
来源期刊
JETP Letters
JETP Letters 物理-物理:综合
CiteScore
2.40
自引率
30.80%
发文量
164
审稿时长
3-6 weeks
期刊介绍: All topics of experimental and theoretical physics including gravitation, field theory, elementary particles and nuclei, plasma, nonlinear phenomena, condensed matter, superconductivity, superfluidity, lasers, and surfaces.
期刊最新文献
Design Features of Optical Diffraction Neural Networks Numerical Simulation of Light Structures in Bulk Epsilon-Near-Zero Media with Kerr Nonlinearity Permittivity of Antiferromagnetic Multiferroics with a Cycloidal Spin Order in the Presence of the Magnetoelectric Effect Related to a Collinear Spin Component Surface Axionic Magnon–Polaritons in Two-Dimensional Antiferromagnets Permanent Bose–Einstein Condensate
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1