Subsystem symmetries can protect gapless hinges and corners in interacting 3D models, yielding higher-order topological phases that require no crystalline symmetry.
Higher-order bulk-boundary correspondence for topological crystalline phases
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abstract
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.
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cond-mat.str-el 1years
2019 1verdicts
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Higher-order topological phase without crystalline symmetry
Subsystem symmetries can protect gapless hinges and corners in interacting 3D models, yielding higher-order topological phases that require no crystalline symmetry.