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Thermoelectric DC conductivities and Stokes flows on black hole horizons.

Banks, E. and Donos, A. and Gauntlett, J.P. (2015) 'Thermoelectric DC conductivities and Stokes flows on black hole horizons.', Journal of high energy physics., 2015 (10). p. 103.


We consider a general class of electrically charged black holes of Einstein-Maxwell-scalar theory that are holographically dual to conformal field theories at finite charge density which break translation invariance explicitly. We examine the linearised perturbations about the solutions that are associated with the thermoelectric DC conductivity. We show that there is a decoupled sector at the black hole horizon which must solve generalised Stokes equations for a charged fluid. By solving these equations we can obtain the DC conductivity of the dual field theory. For Q-lattices and one-dimensional lattices we solve the fluid equations to obtain closed form expressions for the DC conductivity in terms of the solution at the black hole horizon. We also determine the leading order DC conductivity for lattices that can be expanded as a perturbative series about translationally invariant solutions.

Item Type:Article
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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:16 September 2015
Date deposited:14 April 2016
Date of first online publication:15 October 2015
Date first made open access:No date available

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