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Foliated fracton order in the checkerboard model

Shirley, Wilbur and Slagle, Kevin and Chen, Xie (2019) Foliated fracton order in the checkerboard model. Physical Review B, 99 (11). Art. No. 115123. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20181023-135513684

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Abstract

In this work, we show that the checkerboard model exhibits the phenomenon of foliated fracton order. We introduce a renormalization-group transformation for the model that utilizes toric code bilayers as an entanglement resource and show how to extend the model to general three-dimensional manifolds. Furthermore, we use universal properties distilled from the structure of fractional excitations and ground-state entanglement to characterize the foliated fracton phase and find that it is the same as two copies of the X-cube model. Indeed, we demonstrate that the checkerboard model can be transformed into two copies of the X-cube model via an adiabatic deformation.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.99.115123DOIArticle
https://arxiv.org/abs/1806.08633arXivDiscussion Paper
ORCID:
AuthorORCID
Slagle, Kevin0000-0002-8036-3447
Additional Information:© 2019 American Physical Society. Received 26 October 2018; revised manuscript received 14 February 2019; published 18 March 2019. We are grateful for inspiring discussions with Abhinav Prem. W.S. and X.C. are supported by the National Science Foundation under Award No. DMR-1654340 and the Institute for Quantum Information and Matter at Caltech. X.C. is also supported by the Alfred P. Sloan research fellowship and the Walter Burke Institute for Theoretical Physics at Caltech. K.S. is grateful for support from the NSERC of Canada, the Center for Quantum Materials at the University of Toronto, and the Walter Burke Institute for Theoretical Physics at Caltech.
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
NSFDMR-1654340
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
University of TorontoUNSPECIFIED
Record Number:CaltechAUTHORS:20181023-135513684
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20181023-135513684
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90374
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:23 Oct 2018 22:09
Last Modified:18 Mar 2019 15:45

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