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

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.