Topological insulation in a ladder model with particle-hole and reflection symmetries

buir.contributor.authorHetényi, Balazs
buir.contributor.authorYahyavi, Mohammad
dc.citation.epage6en_US
dc.citation.issueNumber10en_US
dc.citation.spage1en_US
dc.citation.volumeNumber30en_US
dc.contributor.authorHetényi, Balazsen_US
dc.contributor.authorYahyavi, Mohammaden_US
dc.date.accessioned2019-02-21T16:03:31Z
dc.date.available2019-02-21T16:03:31Z
dc.date.issued2018en_US
dc.departmentDepartment of Physicsen_US
dc.description.abstractA two-legged ladder model, one dimensional, exhibiting the parity anomaly is constructed. The model belongs to the C and CI symmetry classes, depending on the parameters, but, due to reflection, it exhibits topological insulation. The model consists of two superimposed Creutz models with onsite potentials. The topological invariants of each Creutz model sum to give the mirror winding number, with winding numbers which are nonzero individually but equal and opposite in the topological phase, and both zero in the trivial phase. We demonstrate the presence of edge states and quantized Hall response in the topological region. Our model exhibits two distinct topological regions, distinguished by the different types of reflection symmetries.
dc.description.provenanceMade available in DSpace on 2019-02-21T16:03:31Z (GMT). No. of bitstreams: 1 Bilkent-research-paper.pdf: 222869 bytes, checksum: 842af2b9bd649e7f548593affdbafbb3 (MD5) Previous issue date: 2018en
dc.description.sponsorshipBH gratefully acknowledges support from the Simons Center for Geometry and Physics, Stony Brook University at which some of the research for this work was performed.
dc.identifier.doi10.1088/1361-648X/aaac9d
dc.identifier.issn0953-8984
dc.identifier.urihttp://hdl.handle.net/11693/50113
dc.language.isoEnglish
dc.publisherInstitute of Physics Publishing
dc.relation.isversionofhttps://doi.org/10.1088/1361-648X/aaac9d
dc.relation.projectStony Brook University, SBU
dc.source.titleJournal of Physics Condensed Matteren_US
dc.subjectBand structureen_US
dc.subjectOne dimensional systemsen_US
dc.subjectTopological matteren_US
dc.titleTopological insulation in a ladder model with particle-hole and reflection symmetriesen_US
dc.typeArticleen_US

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