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

Abstract

We present a coupled-wire construction of a model with chiral fracton topological order. The model combines the known construction of $\nu =1/m$ 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.

arXiv comment9+24 pages, 16 figures; v2 contains updated discussion of Gaussian fluctuations; v3 moves some materials from Appendices to main text and is the version accepted for publication

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