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

Understand

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 into the interplay between topology and criticality.