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Screw dislocations in the X-cube fracton model

by Nandagopal Manoj, Kevin Slagle, Wilbur Shirley, Xie Chen

Submission summary

As Contributors: Kevin Slagle
Arxiv Link: https://arxiv.org/abs/2012.07263v3 (pdf)
Date accepted: 2021-04-19
Date submitted: 2021-04-16 02:52
Submitted by: Slagle, Kevin
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
Approach: Theoretical

Abstract

The X-cube model, a prototypical gapped fracton model, has been shown to have a foliation structure. That is, inside the 3+1D model, there are hidden layers of 2+1D gapped topological states. A screw dislocation in a 3+1D lattice can often reveal nontrivial features associated with a layered structure. In this paper, we study the X-cube model on lattices with screw dislocations. In particular, we find that a screw dislocation results in a finite change in the logarithm of the ground state degeneracy of the model. Part of the change can be traced back to the effect of screw dislocations in a simple stack of 2+1D topological states, hence corroborating the foliation structure in the model. The other part of the change comes from the induced motion of fractons or sub-dimensional excitations along the dislocation, a feature absent in the stack of 2+1D layers.

Published as SciPost Phys. 10, 094 (2021)



Author comments upon resubmission

We would like to thank the editor and referees for reviewing our manuscript. We are grateful of the positive reviews, useful feedback, and interesting questions. We have replied to the referee reports using SciPost comments and have improved our manuscript with their suggestions.

List of changes

Clarified motivation of various kinds of line defects.
Added footnotes 1 and 2 to further elaborate on connections to other works.
Clarified our use of tunneling terminology
Added paragraph to conclusion about quantum memory.
Fixed typos.
A detailed diff of the changes can be found here:
https://drive.google.com/file/d/1PFjDXulBwtPD91MOw-UoGt5NZ8ujGY6i

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