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DC conductivity of magnetised holographic matter.

Donos, A. and Gauntlett, J. P. and Griffin, Tom and Melgar, Luis (2016) 'DC conductivity of magnetised holographic matter.', Journal of high energy physics., 2016 (1). p. 113.


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.

Item Type:Article
Keywords:Gauge-gravity correspondence, AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT).
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Publisher 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.
Date accepted:29 December 2015
Date deposited:25 January 2016
Date of first online publication:19 January 2016
Date first made open access:25 January 2016

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