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. doi:10.1103/PhysRevD.90.086007. 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:

URL	URL Type	Description
https://doi.org/10.1103/PhysRevD.90.086007	DOI	Article
https://arxiv.org/abs/1403.6047	arXiv	Discussion Paper

ORCID:

Author	ORCID
Ooguri, Hirosi	0000-0001-6021-3778

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 Agency	Grant Number
Department of Energy (DOE)	DE-FG03-92-ER40701
Simons Foundation	UNSPECIFIED
Ministry of Education, Culture, Sports, Science and Technology (MEXT)	UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)	C-23540285
NSF	PHY-1066293
Dominic Orr Graduate Fellowship	UNSPECIFIED
Department of Energy (DOE)	DE-FG02-05ER41360

Issue or Number:

Classification Code:

PACS numbers: 11.25.Tq

DOI:

10.1103/PhysRevD.90.086007

Record Number:

CaltechAUTHORS:20161219-092554100

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20161219-092554100

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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:

11 Nov 2021 05:08

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