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DC conductivity of magnetised holographic matter

Donos, A.; Gauntlett, J.P.; Griffin, Tom; Melgar, Luis

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Authors

J.P. Gauntlett

Tom Griffin

Luis Melgar



Abstract

We consider general black hole solutions of Einstein-Maxwell-scalar theory that are holographically dual to conformal field theories at finite charge density with nonvanishing magnetic fields and local magnetisation currents, which generically break translation invariance explicitly. We show that the thermoelectric DC conductivity of the field theory can be obtained by solving a system of generalised Stokes equations on the black hole horizon. For various examples, including Q-lattices and one-dimensional lattices, we solve the Stokes equations explicitly and obtain expressions for the DC conductivity in terms of the solution at the black hole horizon.

Citation

Donos, A., Gauntlett, J., Griffin, T., & Melgar, L. (2016). DC conductivity of magnetised holographic matter. Journal of High Energy Physics, 2016(1), Article 113. https://doi.org/10.1007/jhep01%282016%29113

Journal Article Type Article
Acceptance Date Dec 29, 2015
Online Publication Date Jan 19, 2016
Publication Date Jan 19, 2016
Deposit Date Jan 25, 2016
Publicly Available Date Jan 25, 2016
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2016
Issue 1
Article Number 113
DOI https://doi.org/10.1007/jhep01%282016%29113
Keywords Gauge-gravity correspondence, AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT).

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Open Access, © The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





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