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Topology of Disconnected Elementary Band Representations

Author(s): Cano, Jennifer; Bradlyn, Barry; Wang, Zhijun; Elcoro, L.; Vergniory, M.G.; et al

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dc.contributor.authorCano, Jennifer-
dc.contributor.authorBradlyn, Barry-
dc.contributor.authorWang, Zhijun-
dc.contributor.authorElcoro, L.-
dc.contributor.authorVergniory, M.G.-
dc.contributor.authorFelser, C.-
dc.contributor.authorAroyo, M.-
dc.contributor.authorBernevig, Bogdan A.-
dc.date.accessioned2019-12-12T17:50:41Z-
dc.date.available2019-12-12T17:50:41Z-
dc.date.issued2018-06-29en_US
dc.identifier.citationCano, Jennifer, Bradlyn, Barry, Wang, Zhijun, Elcoro, L, Vergniory, MG, Felser, C, Aroyo, M, Bernevig, B Andrei. (2018). Topology of Disconnected Elementary Band Representations. PHYSICAL REVIEW LETTERS, 120, doi:10.1103/PhysRevLett.120.266401en_US
dc.identifier.issn0031-9007-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr17v0m-
dc.description.abstractElementary band representations are the fundamental building blocks of atomic limit band structures. They have the defining property that at partial filling they cannot be both gapped and trivial. Here, we give two examples-one each in a symmorphic and a nonsymmorphic space group-of elementary band representations realized with an energy gap. In doing so, we explicitly construct a counterexample to a claim by Michel and Zak that single-valued elementary band representations in nonsymmorphic space groups with time-reversal symmetry are connected. For each example, we construct a topological invariant to explicitly demonstrate that the valence bands are nontrivial. We discover a new topological invariant: a movable but unremovable Dirac cone in the “Wilson Hamiltonian” and a bent-Z(2) index.en_US
dc.format.extent266401-1 - 266401-6en_US
dc.language.isoen_USen_US
dc.relation.ispartofPHYSICAL REVIEW LETTERSen_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titleTopology of Disconnected Elementary Band Representationsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevLett.120.266401-
dc.date.eissued2018-06-27en_US
dc.identifier.eissn1079-7114-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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