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

TL;DR

This paper introduces a new model of chiral fracton topological order using a coupled-wire approach that combines fractional quantum Hall states with p-string condensation, revealing novel boundary and bulk properties.

Contribution

It develops a coupled-wire construction of chiral fracton phases from fractional quantum Hall layers and generalizes the p-string condensation mechanism to non-Abelian topological orders.

Findings

Supports gapped immobile fracton excitations

Demonstrates fractional quantized Hall conductance with fracton charge carriers

Provides concrete lattice-model realizations

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.