Cano J, Bradlyn B, Wang Z, Elcoro L, Vergniory MG, Felser C, Aroyo M, Bernevig BA (2018)
Publication Type: Journal article
Publication year: 2018
Book Volume: 120
Article Number: 266401
Journal Issue: 26
DOI: 10.1103/PhysRevLett.120.266401
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-Z2 index.
APA:
Cano, J., Bradlyn, B., Wang, Z., Elcoro, L., Vergniory, M.G., Felser, C.,... Bernevig, B.A. (2018). Topology of Disconnected Elementary Band Representations. Physical Review Letters, 120(26). https://doi.org/10.1103/PhysRevLett.120.266401
MLA:
Cano, Jennifer, et al. "Topology of Disconnected Elementary Band Representations." Physical Review Letters 120.26 (2018).
BibTeX: Download