Ground-state degeneracy for Abelian anyons in the presence of gapped boundaries

Anton Kapustin
2014 Physical Review B  
Gapped phases with long-range entanglement may admit gapped boundaries. If the boundary is gapped, the ground-state degeneracy is well-defined and can be computed using methods of Topological Quantum Field Theory. We derive a general formula for the ground-state degeneracy for abelian Fractional Quantum Hall phases, including the cases when connected components of the boundary are subdivided into an arbitrary number of segments, with a different boundary condition on each segment, and in the
more » ... ment, and in the presence of an arbitrary number of boundary domain walls.
doi:10.1103/physrevb.89.125307 fatcat:nk2slvtgvvdfnode3fced3ljt4