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Intrinsically interacting topological crystalline insulators and superconductors
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Motivated by recent progress in crystalline symmetry protected topological (SPT) phases of interacting bosons, we study topological crystalline insulators/superconductors (TCIs) of strongly interacting fermions. We construct a class of intrinsically interacting fermionic TCIs, and show that they are beyond both free-fermion TCIs and bosonic crystalline SPT phases. We also show how these phases can be characterized by symmetry protected gapless fermion modes on the corners/hinges of an open system.
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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.
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