Realization and Stability of Non-Abelian Chiral Quantum Spin Liquids via Dimensional Reduction

TL;DR

This paper demonstrates the realization and stability of a non-Abelian chiral quantum spin liquid phase using a dimensional reduction approach, employing bosonization and RG flow analysis to establish its phase structure and stability.

Contribution

It introduces a novel dimensional reduction framework for studying (2+1)D spin liquids from coupled (1+1)D theories, providing new insights into their fixed point structure and stability.

Findings

Quantum spin liquid phase is realized in the deep IR limit.

The phase is stable under RG flow.

Bosonization reveals fixed point structure.

Abstract

This work is concerned with the realization and stability of a non-Abelian chiral quantum spin liquid phase. To do so, we cast the problem in a quantum wires framework, which is a dimensional deconstruction framework that allows us to study the (2+1) dimensional spin liquids phase from a series of coupled (1+1) dimensional theories. The lower dimension grants us the ability to perform a bosonization procedure, which yields two different partition functions connected by a strong-weak duality transformation. This bosonization procedure is illuminating in that it makes the fixed point structure of the model unequivocal. Then, we proceed by studying the RG flow through the $ \beta $-functions, which we use to determine the phase structure. We find that the quantum spin liquid phase is realized and stable in the deep IR limit.