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Asymptotic Correlations in Gapped and Critical Topological Phases of 1D Quantum Systems

Asymptotic Correlations in Gapped and Critical Topological Phases of 1D Quantum Systems

Topological phases protected by symmetry can occur in gapped and---surprisingly---in critical systems. We consider non-interacting fermions in one dimension with spinless time-reversal symmetry. It is known that the phases are classified by a topological invariant $\omega$ and a central charge $c$. We investigate the correlations of string operators, giving insight …