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 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.
Keywords
Cite
@article{arxiv.2010.15127,
title = {Planar p-String Condensation: Chiral Fracton Phases from Fractional Quantum Hall Layers and Beyond},
author = {Joseph Sullivan and Thomas Iadecola and Dominic J. Williamson},
journal= {arXiv preprint arXiv:2010.15127},
year = {2021}
}
Comments
9+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