Chiral projected entangled-pair state with topological order

TL;DR

This paper demonstrates that PEPS can effectively model chiral topologically ordered phases, revealing a symmetry that underpins topological properties and connecting bulk states to edge conformal field theories.

Contribution

It introduces a simple PEPS construction for chiral topological order and identifies a symmetry responsible for its topological nature.

Findings

PEPS can describe chiral topological phases

A symmetry in the local projector underpins topological order

Edge conformal field theory characteristics are extracted

Abstract

We show that projected entangled-pair states (PEPS) can describe chiral topologically ordered phases. For that, we construct a simple PEPS for spin-1/2 particles in a two-dimensional lattice. We reveal a symmetry in the local projector of the PEPS that gives rise to the global topological character. We also extract characteristic quantities of the edge conformal field theory using the bulk-boundary correspondence.