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Screw dislocations in the X-cube fracton model
by Nandagopal Manoj, Kevin Slagle, Wilbur Shirley, Xie Chen
Submission summary
| Authors (as registered SciPost users): | Xie Chen · Nandagopal Manoj · Kevin Slagle |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2012.07263v3 (pdf) |
| Date accepted: | April 19, 2021 |
| Date submitted: | April 16, 2021, 2:52 a.m. |
| Submitted by: | Kevin Slagle |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
Author comments upon resubmission
List of changes
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
Published as SciPost Phys. 10, 094 (2021)