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Thermoelectric DC conductivities from black hole horizons

2014/06/30 by Aristomenis Donos, Jerome P. Gauntlett · 2 citations
Physics and Astronomy · #cond-mat.str-el #hep-th

paper · pdf · doi:10.1007/jhep11(2014)081

29 pages. Very minor changes; published version

arxiv created 2014/10/14 · arxiv updated 2015/06/22

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.

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