Published August 15, 2019
| Published + Submitted
Journal Article
Open
Foliated fracton order in the Majorana checkerboard model
- Creators
-
Wang, Taige
- Shirley, Wilbur
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Chen, Xie
Abstract
We establish the presence of foliated fracton order in the Majorana checkerboard model. In particular, we describe an entanglement renormalization group transformation which utilizes toric code layers as resources of entanglement and furthermore discuss entanglement signatures and fractional excitations of the model. In fact, we give an exact local unitary equivalence between the Majorana checkerboard model and the semionic X-cube model augmented with decoupled fermionic modes. This mapping demonstrates that the model lies within the X-cube foliated fracton phase.
Additional Information
© 2019 American Physical Society. Received 8 May 2019; revised manuscript received 4 August 2019; published 16 August 2019. We are grateful to Kevin Slagle for helpful discussions. T.W. is supported by Caltech's Summer Undergraduate Research Fellowships and the Institute for Quantum Information and Matter at Caltech. 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.Attached Files
Published - PhysRevB.100.085127.pdf
Submitted - 1904.01111.pdf
Files
1904.01111.pdf
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Additional details
- Eprint ID
- 96650
- Resolver ID
- CaltechAUTHORS:20190624-080757714
- Caltech Summer Undergraduate Research Fellowship (SURF)
- Institute for Quantum Information and Matter (IQIM)
- DMR-1654340
- NSF
- Alfred P. Sloan Foundation
- Walter Burke Institute for Theoretical Physics, Caltech
- Created
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2019-06-24Created 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