Higher-Order Bulk-Boundary Correspondence for Topological Crystalline Phases

By Luka Trifunovic, P. Brouwer. Physical Review X, 2018

261 citations recorded by the source corpus.

We study the bulk-boundary correspondence for topological crystalline phases, where the crystalline symmetry is an order-two (anti)symmetry, unitary or antiunitary. We obtain a formulation of the bulk-boundary correspondence in terms of a subgroup sequence of the bulk classifying groups, which uniquely determines the topological classification of the boundary states. This formulation naturally includes higher-order topological phases as well as topologically nontrivial bulk systems without topologically protected boundary states. The complete bulk and boundary classification of higher-order topological phases with an additional order-two symmetry or antisymmetry is contained in this work.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/00103273b9e902f23c93713ef9c517d03c7f2f8d

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

In Materials Chemistry

Citations in the corpus

Higher-order non-Hermitian skin effect (2020, background): “Recently, higher-order counterparts of topological phases were revealed and investigated extensively [7–19].”