拓扑绝缘体在磁场中的边缘不完善半经典散射

IF 1.4 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":"拓扑绝缘体在磁场中的边缘不完善半经典散射","authors":"A. S. Dotdaev, Ya. I. Rodionov, A. V. Rozhkov, 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":1.4000,"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":"{\"title\":\"Semiclassical Scattering by Edge Imperfections in Topological Insulators in a Magnetic Field\",\"authors\":\"A. S. Dotdaev, Ya. I. Rodionov, A. V. Rozhkov, 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\":1.4000,\"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}","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

摘要

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。

查看原文本刊更多论文

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

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

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.