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Journal of High Energy Physics

, 2014:81 | Cite as

Thermoelectric DC conductivities from black hole horizons

  • Aristomenis Donos
  • Jerome P. Gauntlett
Open Access
Regular Article - Theoretical Physics

Abstract

An analytic expression for the DC electrical conductivity in terms of black hole horizon data was recently obtained for a class of holographic black holes exhibiting momentum dissipation. We generalise this result to obtain analogous expressions for the DC thermoelectric and thermal conductivities. We illustrate our results using some holographic Q-lattice black holes as well as for some black holes with linear massless axions, in both D = 4 and D = 5 bulk spacetime dimensions, which include both spatially isotropic and anisotropic examples. We show that some recently constructed ground states of holographic Q-lattices, which can be either electrically insulating or metallic, are all thermal insulators.

Keywords

Gauge-gravity correspondence Black Holes in String Theory AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) 

Notes

Open Access

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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Copyright information

© The Author(s) 2014

Authors and Affiliations

  1. 1.DAMTP, University of CambridgeCambridgeU.K.
  2. 2.Blackett LaboratoryImperial CollegeLondonU.K.

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