Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

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.

Abstract

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
Full text:(VoR) Version of Record
Available under License - Creative Commons Attribution.
Download PDF
(810Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/JHEP10(2015)103
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

Save or Share this output

Export:
Export
Look up in GoogleScholar