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Ground-state degeneracy for Abelian anyons in the presence of gapped boundaries

Kapustin, Anton (2014) Ground-state degeneracy for Abelian anyons in the presence of gapped boundaries. Physical Review B, 89 (12). Art. No. 125307. ISSN 1098-0121. https://resolver.caltech.edu/CaltechAUTHORS:20140425-081308382

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Abstract

Gapped phases with long-range entanglement may admit gapped boundaries. If the boundary is gapped, the ground-state degeneracy is well defined and can be computed using methods of topological quantum field theory. We derive a general formula for the ground-state degeneracy for Abelian fractional quantum Hall phases, including the cases when connected components of the boundary are subdivided into an arbitrary number of segments, with a different boundary condition on each segment, and in the presence of an arbitrary number of boundary domain walls.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1306.4254arXivWorking Paper
http://dx.doi.org/10.1103/PhysRevB.89.125307 DOIArticle
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.89.125307PublisherArticle
ORCID:
AuthorORCID
Kapustin, Anton0000-0003-3903-5158
Additional Information:© 2014 American Physical Society. Received 24 July 2013; revised manuscript received 21 February 2014; published 19 March 2014. I would like to thank M. Barkeshli, C. M. Jian, and X. L. Qi for a discussion. This work was supported in part by DOE Grant No. DE-FG02-92ER40701.
Group:Caltech Theory
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-92ER40701
Issue or Number:12
Classification Code:PACS: 71.10.Pm, 03.65.Vf, 03.70.+k, 73.43.−f
Record Number:CaltechAUTHORS:20140425-081308382
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140425-081308382
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:45208
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:25 Apr 2014 17:22
Last Modified:03 Oct 2019 06:28

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