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Article: Takagi Topological Insulator on the Honeycomb Lattice

TitleTakagi Topological Insulator on the Honeycomb Lattice
Authors
Keywordschiral symmetry
higher-order topological insulators
pt symmetry
real topology
topological insulator (TI)
Issue Date2022
Citation
Frontiers in Physics, 2022, v. 10, article no. 915764 How to Cite?
AbstractRecently, real topological phases protected by PT symmetry have been actively investigated. In two dimensions, the corresponding topological invariant is the Stiefel-Whitney number. A recent theoretical advance is that in the presence of the sublattice symmetry, the Stiefel-Whitney number can be equivalently formulated in terms of Takagi’s factorization. The topological invariant gives rise to a novel second-order topological insulator with odd PT-related pairs of corner zero modes. In this article, we review the elements of this novel second-order topological insulator, and demonstrate the essential physics by a simple model on the honeycomb lattice. Novelly, the higher-order topological boundary modes can not only be tuned by the parameters but also the geometric shape of the sample.
Persistent Identifierhttp://hdl.handle.net/10722/335043
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLiu, Qing-
dc.contributor.authorWang, Kai-
dc.contributor.authorDai, Jia Xiao-
dc.contributor.authorZhao, Y. X.-
dc.date.accessioned2023-10-24T08:28:40Z-
dc.date.available2023-10-24T08:28:40Z-
dc.date.issued2022-
dc.identifier.citationFrontiers in Physics, 2022, v. 10, article no. 915764-
dc.identifier.urihttp://hdl.handle.net/10722/335043-
dc.description.abstractRecently, real topological phases protected by PT symmetry have been actively investigated. In two dimensions, the corresponding topological invariant is the Stiefel-Whitney number. A recent theoretical advance is that in the presence of the sublattice symmetry, the Stiefel-Whitney number can be equivalently formulated in terms of Takagi’s factorization. The topological invariant gives rise to a novel second-order topological insulator with odd PT-related pairs of corner zero modes. In this article, we review the elements of this novel second-order topological insulator, and demonstrate the essential physics by a simple model on the honeycomb lattice. Novelly, the higher-order topological boundary modes can not only be tuned by the parameters but also the geometric shape of the sample.-
dc.languageeng-
dc.relation.ispartofFrontiers in Physics-
dc.subjectchiral symmetry-
dc.subjecthigher-order topological insulators-
dc.subjectpt symmetry-
dc.subjectreal topology-
dc.subjecttopological insulator (TI)-
dc.titleTakagi Topological Insulator on the Honeycomb Lattice-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.3389/fphy.2022.915764-
dc.identifier.scopuseid_2-s2.0-85132803645-
dc.identifier.volume10-
dc.identifier.spagearticle no. 915764-
dc.identifier.epagearticle no. 915764-
dc.identifier.eissn2296-424X-
dc.identifier.isiWOS:000811675300001-

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