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Foliated Field Theory and String-Membrane-Net Condensation Picture of Fracton Order

Slagle, Kevin and Aasen, David and Williamson, Dominic (2019) Foliated Field Theory and String-Membrane-Net Condensation Picture of Fracton Order. SciPost Physics, 6 (4). Art. No. 043. ISSN 2542-4653. http://resolver.caltech.edu/CaltechAUTHORS:20190416-074932870

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Abstract

Foliated fracton order is a qualitatively new kind of phase of matter. It is similar to topological order, but with the fundamental difference that a layered structure, referred to as a foliation, plays an essential role and determines the mobility restrictions of the topological excitations. In this work, we introduce a new kind of field theory to describe these phases: a foliated field theory. We also introduce a new lattice model and string-membrane-net condensation picture of these phases, which is analogous to the string-net condensation picture of topological order.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.21468/SciPostPhys.6.4.043DOIArticle
https://arxiv.org/abs/1812.01613arXivDiscussion Paper
ORCID:
AuthorORCID
Slagle, Kevin0000-0002-8036-3447
Additional Information:© 2019 K. Slagle et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 24-01-2019; Accepted 08-04-2019; Published 12-04-2019. We thank Anton Kapustin, Wilbur Shirley, Xie Chen, Zhenghan Wang, Xiao-Gang Wen, Juven Wang, Lei Chen, Alex Turzillo, Meng Cheng, Daniel Bulmash, and Yu An Chen for helpful discussions. KS is supported by the Walter Burke Institute for Theoretical Physics at Caltech. DA is supported by a postdoctoral fellowship from the the Gordon and Betty Moore Foundation, under the EPiQS initiative, Grant GBMF4304.
Group:IQIM, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Gordon and Betty Moore FoundationGBMF4304
Record Number:CaltechAUTHORS:20190416-074932870
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190416-074932870
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:94726
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 Apr 2019 23:30
Last Modified:21 May 2019 23:09

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