二维量子磁学中部分子和耦合线方法的统一
Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
摘要：
微观自由度的分形化是量子多体系统中强相互作用的一个显著表现。对这种现象的分析研究主要基于两个不同的框架：部分子的场论和涌现的规范场，或者一维量子线的耦合阵列。我们统一这些方法的二维自旋系统。通过精确的操作，我们展示了部分子规范理论如何出现在微观线阵列和明确的自旋算子新兴准粒子和规范场单极。这种对应关系使我们能够计算物理关联函数在这两个配方，并导致一个简单的算法，用于构建广泛的异国情调的阶段的父哈密尔顿。我们对几种手征和非手征量子自旋液体进行了研究。
英文摘要：
The fractionalization of microscopic degrees of freedom is a remarkable manifestation of strong interactions in quantum many-body systems. Analytical studies of this phenomenon are primarily based on two distinct frameworks: field theories of partons and emergent gauge fields, or coupled arrays of one-dimensional quantum wires. We unify these approaches for two-dimensional spin systems. Via exact manipulations, we demonstrate how parton gauge theories arise in microscopic wire arrays and explicitly relate spin operators to emergent quasiparticles and gauge-field monopoles. This correspondence allows us to compute physical correlation functions within both formulations and leads to a straightforward algorithm for constructing parent Hamiltonians for a wide range of exotic phases. We exemplify this technique for several chiral and non-chiral quantum spin liquids.
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