论文标题

平面P弦凝结:分数量子厅层及以后的手性分裂阶段

Planar p-String Condensation: Chiral Fracton Phases from Fractional Quantum Hall Layers and Beyond

论文作者

Sullivan, Joseph, Iadecola, Thomas, Williamson, Dominic J.

论文摘要

我们提出了带有手性法型拓扑顺序的模型的耦合线结构。该模型结合了已知的$ν= 1/m $ lughlin量子量构成的结构,并结合了平面p串联凝结机制。该模型的大部分支持散发的固定分子激发,从而产生移动复合激发的层次结构。该模型的开放边界是手性和无间隙的,可用于演示分数量化的霍尔电导,其中fracton复合材料充当散装中的电荷载体。用于构建和分析模型的平面P弦机制将其推广到一类广泛的模型,包括基于支持非亚伯拓扑顺序的层的模型。我们描述了这种概括,并提供了该机制的具体晶格模型实现。

We present a coupled-wire construction of a model with chiral fracton topological order. The model combines the known construction of $ν=1/m$ Laughlin fractional quantum Hall states with a planar p-string condensation mechanism. The bulk of the model supports gapped immobile fracton excitations that generate a hierarchy of mobile composite excitations. Open boundaries of the model are chiral and gapless, and can be used to demonstrate a fractional quantized Hall conductance where fracton composites act as charge carriers in the bulk. The planar p-string mechanism used to construct and analyze the model generalizes to a wide class of models including those based on layers supporting non-Abelian topological order. We describe this generalization and additionally provide concrete lattice-model realizations of the mechanism.

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