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arXiv · 1406.4742

Thermoelectric DC conductivities from black hole horizons

Aristomenis Donos·Jerome P. Gauntlett
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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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Aristomenis Donos, Jerome P. Gauntlett. 2014-10-14. Thermoelectric DC conductivities from black hole horizons. https://doi.org/10.1007/jhep11(2014)081

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