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Exotic topological order in fractal spin liquids

Yoshida, Beni (2013) Exotic topological order in fractal spin liquids. Physical Review B, 88 (12). Art. No. 125122. ISSN 1098-0121. https://resolver.caltech.edu/CaltechAUTHORS:20131004-142429508

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Abstract

We present a large class of three-dimensional spin models that possess topological order with stability against local perturbations, but are beyond description of topological quantum field theory. Conventional topological spin liquids, on a formal level, may be viewed as condensation of stringlike extended objects with discrete gauge symmetries, being at fixed points with continuous scale symmetries. In contrast, ground states of fractal spin liquids are condensation of highly fluctuating fractal objects with certain algebraic symmetries, corresponding to limit cycles under real-space renormalization group transformations which naturally arise from discrete scale symmetries of underlying fractal geometries. A particular class of three-dimensional models proposed in this paper may potentially saturate quantum information storage capacity for local spin systems.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1302.6248arXivDiscussion Paper
http://dx.doi.org/10.1103/PhysRevB.88.125122 DOIArticle
http://link.aps.org/doi/10.1103/PhysRevB.88.125122PublisherArticle
Additional Information:© 2013 American Physical Society. Received 1 July 2013; published 12 September 2013. I thank P. Shor, J. Preskill, X.-G. Wen, and S. Takayoshi for helpful discussion and comments. I acknowledge fruitful discussion with O. Buerschaper on RG transformations. I thank J. Haah, S. Michalakis, and A. Kubica for countless discussions at Caltech. I am supported by the David and Ellen Lee Postdoctoral fellowship. I acknowledge funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation (Grants No. PHY-0803371 and No. PHY-1125565).
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
David and Ellen Lee Postdoctoral FellowshipUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
NSFPHY-0803371
NSFPHY-1125565
Issue or Number:12
Classification Code:PACS: 03.67.-a, 05.30.-d, 05.50.+q
Record Number:CaltechAUTHORS:20131004-142429508
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20131004-142429508
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41690
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:04 Oct 2013 22:40
Last Modified:03 Oct 2019 05:51

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