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Permutation-symmetric critical phases in disordered non-Abelian anyonic chains

Fidkowski, L. and Lin, H.-H. and Titum, P. and Refael, G. (2009) Permutation-symmetric critical phases in disordered non-Abelian anyonic chains. Physical Review B, 79 (15). Art No. 155120. ISSN 0163-1829. https://resolver.caltech.edu/CaltechAUTHORS:20090603-135244215

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Abstract

Topological phases supporting non-Abelian anyonic excitations have been proposed as candidates for topological quantum computation. In this paper, we study disordered non-Abelian anyonic chains based on the quantum groups SU(2)_k, a hierarchy that includes the v = 5/2 fractional quantum Hall state and the proposed v = 12/5 Fibonacci state, among others. We find that for odd k these anyonic chains realize infinite-randomness critical phases in the same universality class as the S_k permutation symmetric multicritical points of Damle and Huse [Phys. Rev. Lett. 89, 277203 (2002)]. Indeed, we show that the pertinent subspace of these anyonic chains actually sits inside the Z_k ⊂ S_k symmetric sector of the Damle-Huse model, and this Z_k symmetry stabilizes the phase.


Item Type:Article
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http://dx.doi.org/10.1103/PhysRevB.79.155120DOIUNSPECIFIED
http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRBMDO000079000015155120000001&idtype=cvips&gifs=yesPublisherUNSPECIFIED
Additional Information:© 2009 American Physical Society. Received 22 January 2009; published 27 April 2009. We would like to thank John Preskill and Simon Trebst for useful discussions. Also, we would especially like to thank David Huse for useful discussions during the early part of this work. H.-H.L. and P.T. were supported by the Summer Undergraduate Research Foundation at the California Institute of Technology. L.F. and G.R. would like to acknowledge support from the Institute for Quantum Information under NSF Grants No. PHY-0456720 and No. PHY- 0803371, and from the Packard Foundation. PACS number(s): 75.10.Pq
Funders:
Funding AgencyGrant Number
Summer Undergraduate Research Foundation, CaltechUNSPECIFIED
NSFPHY-0456720
NSFPHY-0803371
David and Lucile Packard FoundationUNSPECIFIED
Issue or Number:15
Record Number:CaltechAUTHORS:20090603-135244215
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20090603-135244215
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:14359
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:17 Aug 2009 19:53
Last Modified:03 Oct 2019 00:49

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