{"title":"Bulk–Boundary Correspondence in a Non-Hermitian Quantum Spin-Hall Insulator","authors":"Chihiro Ishii, Y. Takane","doi":"10.7566/jpsj.92.124707","DOIUrl":null,"url":null,"abstract":"We focus on a scenario of non-Hermitian bulk--boundary correspondence that uses a topological invariant defined in a bulk geometry under a modified periodic boundary condition. Although this has succeeded in describing the topological nature of various one-dimensional non-Hermitian systems, its application to two-dimensional systems has been limited to a non-Hermitian Chern insulator. Here, we adapt the scenario to a non-Hermitian quantum spin-Hall insulator to extend its applicability. We show that it properly describes the bulk--boundary correspondence in the non-Hermitian quantum spin-Hall insulator. A phase diagram derived from the bulk--boundary correspondence is shown to be consistent with spectra of the system under an open boundary condition.","PeriodicalId":509167,"journal":{"name":"Journal of the Physical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-11-22","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":"1085","ListUrlMain":"https://doi.org/10.7566/jpsj.92.124707","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We focus on a scenario of non-Hermitian bulk--boundary correspondence that uses a topological invariant defined in a bulk geometry under a modified periodic boundary condition. Although this has succeeded in describing the topological nature of various one-dimensional non-Hermitian systems, its application to two-dimensional systems has been limited to a non-Hermitian Chern insulator. Here, we adapt the scenario to a non-Hermitian quantum spin-Hall insulator to extend its applicability. We show that it properly describes the bulk--boundary correspondence in the non-Hermitian quantum spin-Hall insulator. A phase diagram derived from the bulk--boundary correspondence is shown to be consistent with spectra of the system under an open boundary condition.