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.
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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 | ||||||||||||
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Issue or Number: | 8 | ||||||||||||
DOI: | 10.1103/PhysRevB.100.085127 | ||||||||||||
Record Number: | CaltechAUTHORS:20190624-080757714 | ||||||||||||
Persistent URL: | https://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 Nov 2021 17:22 |
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