Coupled wire construction of chiral spin liquids

TL;DR

This paper presents a coupled wire method to construct chiral spin liquids, including Abelian and non-Abelian types, featuring spinon excitations and chiral edge states, advancing understanding of topological quantum states.

Contribution

It introduces a novel coupled wire framework for creating both Abelian and non-Abelian chiral spin liquids with specific edge states and excitations.

Findings

Constructed Abelian chiral spin liquids with bulk gaps and edge states

Extended the framework to non-Abelian chiral spin liquids with parafermionic edges

Demonstrated the presence of spinon excitations in the constructed states

Abstract

We develop a coupled wire construction of chiral spin liquids. The starting point are individual wires of electrons in the Mott regime that are subject to a Zeeman field and Rashba spin-orbit coupling. Suitable spin-flip couplings between the wires yield an Abelian chiral spin liquid state which supports spinon excitations above a bulk gap, and chiral edge states. The approach generalizes to non-Abelian chiral spin liquids at level k with parafermionic edge states.