# Topological order, symmetry, and Hall response of two-dimensional spin-singlet superconductors

Sergej Moroz, TU Munich

19.05.2017 at 09:00

Fully gapped two-dimensional superconductors coupled to dynamical electromagnetism do not have long-range order, but are known to exhibit topological order. In this talk I will present a unified low-energy description for spin-singlet paired states by deriving topological Chern-Simons field theories for s-wave, d + id, and higher even-wave chiral superconductors. These theories encode the quantum statistics and fusion rules of Bogoliubov quasiparticles and vortices and incorporate global continuous symmetries - specifically, spin rotation and conservation of magnetic flux - present in all singlet superconductors, which firmly establishes superconductors as symmetry enriched topological phases. Although for an s-wave paired state its topological properties are well captured by the toric code model, I will demonstrate that in the presence of global symmetries this picture is incomplete. I will discuss Hall responses for these symmetries and the physics at the edge.

A 450, Theresienstr. 37