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• W3176165220 abstract "We consider the extent to which symmetry eigenvalues reveal the topological character of bands. Specifically, we compare distinct atomic limit phases (band representations) that share the same irreducible representations (irreps) at all points in the Brillouin zone and, therefore, appear equivalent in a classification based on eigenvalues. We derive examples where such irrep-equivalent phases can be distinguished by a quantized Berry phase or generalization thereof. These examples constitute a generalization of the Su-Schrieffer-Heeger chain: neither phase is topological, in the sense that localized Wannier functions exist, yet there is a topological obstruction between them. We refer to two phases as Berry obstructed atomic limits if they have the same irreps, but differ by Berry phases. This is a distinct notion from eigenvalue obstructed atomic limits, which differ in their symmetry irreps at some point in the Brillouin zone. We compute exhaustive lists of elementary band representations that are irrep-equivalent, in all space groups, with and without time-reversal symmetry and spin-orbit coupling, and use group theory to derive a set of necessary conditions for irrep-equivalence. Finally, we conjecture, and in some cases prove, that irrep-equivalent elementary band representations that are not equivalent can be distinguished by a topological invariant." @default.
• W3176165220 created "2021-07-05" @default.
• W3176165220 creator A5013002391 @default.
• W3176165220 creator A5024948946 @default.
• W3176165220 creator A5035863529 @default.
• W3176165220 creator A5063381374 @default.
• W3176165220 creator A5064275485 @default.
• W3176165220 date "2022-03-11" @default.
• W3176165220 modified "2023-10-05" @default.
• W3176165220 title "Topology invisible to eigenvalues in obstructed atomic insulators" @default.
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