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<p>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 <i>β</i>-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.</p>

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Realization and stability of non-Abelian chiral quantum spin liquids via dimensional reduction

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月28日

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  • Rodrigo Corso B Santos,
  • Carlos A. Hernaski

摘要

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 β-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.