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. doi:10.1103/PhysRevB.89.125307. 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.
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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 | ||||||||||||
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Issue or Number: | 12 | ||||||||||||
Classification Code: | PACS: 71.10.Pm, 03.65.Vf, 03.70.+k, 73.43.−f | ||||||||||||
DOI: | 10.1103/PhysRevB.89.125307 | ||||||||||||
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: | 10 Nov 2021 17:01 |
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