Published March 15, 2019
| Submitted + Published
Journal Article
Open
Foliated fracton order in the checkerboard model
- Creators
- Shirley, Wilbur
-
Slagle, Kevin
-
Chen, Xie
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.
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.Attached Files
Published - PhysRevB.99.115123.pdf
Submitted - 1806.08633.pdf
Files
PhysRevB.99.115123.pdf
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Additional details
- Eprint ID
- 90374
- Resolver ID
- CaltechAUTHORS:20181023-135513684
- NSF
- DMR-1654340
- Institute for Quantum Information and Matter (IQIM)
- Alfred P. Sloan Foundation
- Walter Burke Institute for Theoretical Physics, Caltech
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- University of Toronto
- Created
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2018-10-23Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics