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Many-body topological invariants in fermionic symmetry-protected topological phases: Cases of point group symmetries

Many-body topological invariants in fermionic symmetry-protected topological phases: Cases of point group symmetries

We propose the definitions of many-body topological invariants to detect symmetry-protected topological phases protected by point group symmetry, using partial point group transformations on a given short-range entangled quantum ground state. Partial point group transformations $g_D$ are defined by point group transformations restricted to a spatial subregion $D$, which is …