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. doi:10.1103/PhysRevB.100.085127. https://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:

URL	URL Type	Description
https://doi.org/10.1103/PhysRevB.100.085127	DOI	Article
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.100.085127	Publisher	Article
https://arxiv.org/abs/1904.01111	arXiv	Discussion Paper

ORCID:

Author	ORCID
Wang, Taige	0000-0001-7227-915X

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:

Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics

Funders:

Funding Agency	Grant Number
Caltech Summer Undergraduate Research Fellowship (SURF)	UNSPECIFIED
Institute for Quantum Information and Matter (IQIM)	UNSPECIFIED
NSF	DMR-1654340
Alfred P. Sloan Foundation	UNSPECIFIED
Walter Burke Institute for Theoretical Physics, Caltech	UNSPECIFIED

Issue or Number:

DOI:

10.1103/PhysRevB.100.085127

Record Number:

CaltechAUTHORS:20190624-080757714

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20190624-080757714

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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 Nov 2021 17:22

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