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Finite-Temperature Topological Invariant for Interacting Systems

Finite-Temperature Topological Invariant for Interacting Systems

We generalize the Ensemble Geometric Phase (EGP), recently introduced to classify the topology of density matrices, to finite-temperature states of interacting systems in one spatial dimension (1D). This includes cases where the gapped ground state has a fractional filling and is degenerate. At zero temperature the corresponding topological invariant agrees …