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Condensed Matter > Strongly Correlated Electrons
Title: Screw dislocations in the X-cube fracton model
(Submitted on 14 Dec 2020 (v1), last revised 14 Apr 2021 (this version, v3))
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.
Submission history
From: Kevin Slagle [view email][v1] Mon, 14 Dec 2020 05:23:15 GMT (3211kb,D)
[v2] Tue, 22 Dec 2020 20:53:28 GMT (3211kb,D)
[v3] Wed, 14 Apr 2021 19:22:10 GMT (3222kb,D)
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