Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su–Schrieffer–Heeger Model with Nonreciprocal Hoppings

IF 1.5 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Hiromasa Wakao
{"title":"Hybrid Higher-Order Skin Topological Modes in the Two-Dimensional Su–Schrieffer–Heeger Model with Nonreciprocal Hoppings","authors":"Hiromasa Wakao","doi":"10.7566/jpsj.93.064702","DOIUrl":null,"url":null,"abstract":"The coexistence of edge states and skin effects provides the topologically protected localized states at the corners of two-dimensional systems. In this paper, we realize such corner states in the two-dimensional Su–Schrieffer–Heeger model with the nonreciprocal hoppings. For the characterization of the real line gap topology, we introduce the <tex-math space=\"preserve\" version=\"MathJax\">\\(\\mathbb{Z}_{4}\\)</tex-math> Berry phase protected by generalized four-fold rotational symmetry. From the physical picture of the adiabatic connection, we find that the value of the <tex-math space=\"preserve\" version=\"MathJax\">\\(\\mathbb{Z}_{4}\\)</tex-math> Berry phase predicts the position of edge states. Additionally, by using the winding number, we characterize the point gap topology of the edge spectra. From the results of these characterizations by the first-order topological invariants, we find that the pair of values of the <tex-math space=\"preserve\" version=\"MathJax\">\\(\\mathbb{Z}_{4}\\)</tex-math> Berry phase and the winding number yields the position of the topologically protected localized states.","PeriodicalId":17304,"journal":{"name":"Journal of the Physical Society of Japan","volume":"10 1","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Physical Society of Japan","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.7566/jpsj.93.064702","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

Abstract

The coexistence of edge states and skin effects provides the topologically protected localized states at the corners of two-dimensional systems. In this paper, we realize such corner states in the two-dimensional Su–Schrieffer–Heeger model with the nonreciprocal hoppings. For the characterization of the real line gap topology, we introduce the \(\mathbb{Z}_{4}\) Berry phase protected by generalized four-fold rotational symmetry. From the physical picture of the adiabatic connection, we find that the value of the \(\mathbb{Z}_{4}\) Berry phase predicts the position of edge states. Additionally, by using the winding number, we characterize the point gap topology of the edge spectra. From the results of these characterizations by the first-order topological invariants, we find that the pair of values of the \(\mathbb{Z}_{4}\) Berry phase and the winding number yields the position of the topologically protected localized states.
具有非互惠跳频的二维苏-施里弗-希格模型中的混合高阶表皮拓扑模式
边缘态和集肤效应的共存提供了二维系统边角处的拓扑保护局部态。在本文中,我们在具有非互惠跳跃的二维苏-施里弗-希格模型中实现了这种角态。为了描述实线隙拓扑,我们引入了受广义四重旋转对称性保护的贝里相(\mathbb{Z}_{4}\)。从绝热连接的物理图景中,我们发现 \(\mathbb{Z}_{4}\) 贝里相的值可以预测边缘态的位置。此外,通过使用绕组数,我们还表征了边缘谱的点隙拓扑。从这些一阶拓扑不变式的表征结果中,我们发现贝里相位和卷绕数的值对可以得到拓扑保护局部态的位置。
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
CiteScore
3.40
自引率
17.60%
发文量
325
审稿时长
3 months
期刊介绍: The papers published in JPSJ should treat fundamental and novel problems of physics scientifically and logically, and contribute to the development in the understanding of physics. The concrete objects are listed below. Subjects Covered JPSJ covers all the fields of physics including (but not restricted to) Elementary particles and fields Nuclear physics Atomic and Molecular Physics Fluid Dynamics Plasma physics Physics of Condensed Matter Metal, Superconductor, Semiconductor, Magnetic Materials, Dielectric Materials Physics of Nanoscale Materials Optics and Quantum Electronics Physics of Complex Systems Mathematical Physics Chemical physics Biophysics Geophysics Astrophysics.
×
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