Nondiagonal anisotropic quantum Hall states

Abstract

Using the coupled wire construction, the authors investigate a novel Abelian quantum Hall state that possesses a symmetry-enriched topological order given a combination of internal and spatial symmetry. This is termed the ``nondiagonal'' state due to its relation to nondiagonal conformal field theory, and is characterized by quasiparticles with constrained motion, whose braiding statistics features a marriage of Laughlin state and \ensuremath{\mathbb{Z}}${}_{p}$ toric code. Dislocations in the wire model act as twist defects that implement the $\mathbf{e}\ensuremath{\leftrightarrow}\mathbf{m}$ anyonic symmetry.

Topics & Concepts