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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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Abstract: Elementary 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.
Publication Date: 29-Jun-2018
Electronic Publication Date: 27-Jun-2018
Citation: Cano, 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.120.266401
DOI: doi:10.1103/PhysRevLett.120.266401
ISSN: 0031-9007
EISSN: 1079-7114
Pages: 266401-1 - 266401-6
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW LETTERS
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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