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Hall Viscosity and Angular Momentum in Gapless Holographic Models

Liu, Hong and Ooguri, Hirosi and Stoica, Bogdan (2014) Hall Viscosity and Angular Momentum in Gapless Holographic Models. Physical Review D, 90 (8). Art. No. 086007. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20161219-092554100

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Abstract

We use the holographic approach to compare the Hall viscosity η_H and the angular momentum density J in gapless systems in 2+1 dimensions at finite temperature. We start with a conformal fixed point and turn on a perturbation which breaks the parity and time-reversal symmetries via gauge and gravitational Chern-Simons couplings in the bulk. While the ratio of η_H and J shows some universal properties when the perturbation is slightly relevant, we find that the two quantities behave differently in general. In particular, η_H depends only on infrared physics, while J receives contributions from degrees of freedom at all scales.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevD.90.086007DOIArticle
https://arxiv.org/abs/1403.6047arXivDiscussion Paper
ORCID:
AuthorORCID
Ooguri, Hirosi0000-0001-6021-3778
Additional Information:© 2014 American Physical Society. Received 30 August 2014; published 20 October 2014. We thank N. Read, O. Saremi, D. T. Son, and C. Wu for useful discussion. H. O. and B. S. are supported in part by U.S. Department of Energy Grant No. DE-FG03-92-ER40701. The work of H. O. is also supported in part by a Simons Investigator award from the Simons Foundation, the WPI Initiative of MEXT of Japan, and JSPS Grant-in-Aid for Scientific Research No. C-23540285. He also thanks the hospitality of the Aspen Center for Physics and the National Science Foundation, which supports the Center under Grant No. PHY-1066293, and of the Simons Center for Geometry and Physics. The work of B. S. is supported in part by a Dominic Orr Graduate Fellowship. B. S. would like to thank the hospitality of the Kavli Institute for the Physics and Mathematics of the Universe and of the Yukawa Institute for Theoretical Physics. H. L. is supported in part by funds provided by the U.S. Department of Energy under cooperative research agreement No. DE-FG0205ER41360 and thanks the hospitality of the Isaac Newton Institute for Mathematical Sciences.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
Simons FoundationUNSPECIFIED
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)C-23540285
NSFPHY-1066293
Dominic Orr Graduate FellowshipUNSPECIFIED
Department of Energy (DOE)DE-FG02-05ER41360
Issue or Number:8
Classification Code:PACS numbers: 11.25.Tq
Record Number:CaltechAUTHORS:20161219-092554100
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20161219-092554100
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72932
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Dec 2016 17:33
Last Modified:03 Oct 2019 16:22

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