Thermoelectric DC conductivities from black hole horizons

Donos, Aristomenis; Gauntlett, Jerome P.

doi:10.1007/jhep11(2014)081

Thermoelectric DC conductivities from black hole horizons

Donos, Aristomenis; Gauntlett, Jerome P.

Authors

Dr Aristomenis Donos aristomenis.donos@durham.ac.uk
Associate Professor

Jerome P. Gauntlett

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.

Citation

Donos, A., & Gauntlett, J. P. (2014). Thermoelectric DC conductivities from black hole horizons. Journal of High Energy Physics, 2014(11), https://doi.org/10.1007/jhep11%282014%29081

Journal Article Type	Article
Acceptance Date	Oct 16, 2014
Online Publication Date	Nov 17, 2014
Publication Date	Nov 17, 2014
Deposit Date	Dec 10, 2014
Publicly Available Date	Apr 27, 2015
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2014
Issue	11
DOI	https://doi.org/10.1007/jhep11%282014%29081
Keywords	Gauge-gravity correspondence, Black Holes in String Theory, AdS-CFT Correspondence, Holography and condensed matter physics (AdS/CMT).

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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.