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Screw dislocations in the X-cube fracton model

Manoj, Nandagopal and Slagle, Kevin and Shirley, Wilbur and Chen, Xie (2021) Screw dislocations in the X-cube fracton model. SciPost Physics, 10 (4). Art. No. 94. ISSN 2542-4653. doi:10.21468/scipostphys.10.4.094.

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The X-cube model, a prototypical gapped fracton model, was shown in Ref. [1] to have a foliation structure. That is, inside the 3+1 D model, there are hidden layers of 2+1 D gapped topological states. A screw dislocation in a 3+1 D 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+1 D 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.

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Slagle, Kevin0000-0002-8036-3447
Additional Information:© 2021 N. Manoj et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 06-01-2021; Accepted 19-04-2021; Published 29-04-2021. This work initiated from discussion with Alexei Kitaev. We are indebted to inspiring discussions with Jennifer Cano, Arpit Dua, Meng Cheng, and Nathan Seiberg. N.M. acknowledges the KVPY programme. W.S. and X.C. are supported by the National Science Foundation under award number DMR-1654340, the Simons collaboration on “Ultra-Quantum Matter,” which is a grant from the Simons Foundation (651440) and the Institute for Quantum Information and Matter at Caltech. K.S. and X. C. are supported by the Walter Burke Institute for Theoretical Physics at Caltech. While working on this project, we learned that Tom Rudelius et. al. [46] and Arpit Dua et. al. are also studying the X-cube model in twisted lattices.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
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Simons Foundation651440
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Issue or Number:4
Record Number:CaltechAUTHORS:20211222-591602700
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:112644
Deposited By: Tony Diaz
Deposited On:22 Dec 2021 21:46
Last Modified:22 Dec 2021 21:46

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