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Article: Coalescing Majorana edge modes in non-Hermitian PT-symmetric Kitaev chain

TitleCoalescing Majorana edge modes in non-Hermitian PT-symmetric Kitaev chain
Authors
Keywordsarticle
calculation
writing
Issue Date2020
PublisherNature Research (part of Springer Nature): Fully open access journals. The Journal's web site is located at http://www.nature.com/srep/index.html
Citation
Scientific Reports, 2020, v. 10 n. 1, p. article no. 6807 How to Cite?
AbstractA single unit cell contains all the information about the bulk system, including the topological feature. The topological invariant can be extracted from a finite system, which consists of several unit cells under certain environment, such as a non-Hermitian external field. We present an exact solvable non-Hermitian finite-size Kitaev chain with PT-symmetric chemical potentials at the symmetric point. The straightforward calculation shows that there are two kinds of Majorana edge modes in this model divided by PT symmetry-broken and unbroken. The one appeared in the PT symmetry-unbroken region can be seen as the finite-size projection of the conventional degenerate zero modes in a Hermitian infinite system with the open boundary condition. It indicates a possible variant of the bulk-edge correspondence: The number of Majorana edge modes in a finite non-Hermitian system can be the topological invariant to identify the topological phase of the corresponding bulk Hermitian system.
Persistent Identifierhttp://hdl.handle.net/10722/289280
ISSN
2019 Impact Factor: 3.998
2015 SCImago Journal Rankings: 2.073
PubMed Central ID

 

DC FieldValueLanguage
dc.contributor.authorLi, C-
dc.contributor.authorJin, L-
dc.contributor.authorSong, Z-
dc.date.accessioned2020-10-22T08:10:25Z-
dc.date.available2020-10-22T08:10:25Z-
dc.date.issued2020-
dc.identifier.citationScientific Reports, 2020, v. 10 n. 1, p. article no. 6807-
dc.identifier.issn2045-2322-
dc.identifier.urihttp://hdl.handle.net/10722/289280-
dc.description.abstractA single unit cell contains all the information about the bulk system, including the topological feature. The topological invariant can be extracted from a finite system, which consists of several unit cells under certain environment, such as a non-Hermitian external field. We present an exact solvable non-Hermitian finite-size Kitaev chain with PT-symmetric chemical potentials at the symmetric point. The straightforward calculation shows that there are two kinds of Majorana edge modes in this model divided by PT symmetry-broken and unbroken. The one appeared in the PT symmetry-unbroken region can be seen as the finite-size projection of the conventional degenerate zero modes in a Hermitian infinite system with the open boundary condition. It indicates a possible variant of the bulk-edge correspondence: The number of Majorana edge modes in a finite non-Hermitian system can be the topological invariant to identify the topological phase of the corresponding bulk Hermitian system.-
dc.languageeng-
dc.publisherNature Research (part of Springer Nature): Fully open access journals. The Journal's web site is located at http://www.nature.com/srep/index.html-
dc.relation.ispartofScientific Reports-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.subjectarticle-
dc.subjectcalculation-
dc.subjectwriting-
dc.titleCoalescing Majorana edge modes in non-Hermitian PT-symmetric Kitaev chain-
dc.typeArticle-
dc.identifier.emailLi, C: oldsmith@hku.hk-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1038/s41598-020-63369-x-
dc.identifier.pmid32321953-
dc.identifier.pmcidPMC7176666-
dc.identifier.scopuseid_2-s2.0-85083787185-
dc.identifier.hkuros316817-
dc.identifier.volume10-
dc.identifier.issue1-
dc.identifier.spagearticle no. 6807-
dc.identifier.epagearticle no. 6807-
dc.publisher.placeUnited Kingdom-

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