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Foliated fracton order in the Majorana checkerboard model

Wang, Taige and Shirley, Wilbur and Chen, Xie (2019) Foliated fracton order in the Majorana checkerboard model. Physical Review B, 100 (8). Art. No. 085127. ISSN 2469-9950. http://resolver.caltech.edu/CaltechAUTHORS:20190624-080757714

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.100.085127DOIArticle
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.100.085127PublisherArticle
https://arxiv.org/abs/1904.01111arXivDiscussion Paper
ORCID:
AuthorORCID
Wang, Taige0000-0001-7227-915X
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.
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Caltech Summer Undergraduate Research Fellowship (SURF)UNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSFDMR-1654340
Alfred P. Sloan FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Issue or Number:8
Record Number:CaltechAUTHORS:20190624-080757714
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190624-080757714
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:96650
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Jun 2019 17:10
Last Modified:16 Aug 2019 16:41

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