Thermoelectric DC conductivities from black hole horizons

By Aristomenis Donos, J. Gauntlett. 2014

276 citations recorded by the source corpus.

A bstractAn 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/da409d10a10bf1c7f18bc681232fa5b77cd85785

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Citations in the corpus

Holographic metals and insulators with helical symmetry (2014, methodology): “A method to derive the DC heat conductivity has been outlined in [14].”
Solid holography and massive gravity (2015, background): “[2] for calculating the DC conductivity (for an alternative approach, see [29]).”
Universal diffusion in incoherent black holes (2016, methodology): “For these holographic Q-lattice models, it is now well known that one can obtain an analytic expression for the thermal conductivity in terms of properties of the black hole horizon [26].”
Dissecting holographic conductivities (2015, methodology): “This provides an independent check of the horizon formula results of [14, 18] from a Kubo formula calculation.”
The thermoelectric properties of inhomogeneous holographic lattices (2014, methodology): “The basic strategy of [12, 14] is to consider linearised perturbations about the black holes with sources for the electric and heat currents that are linear in time.”
Holographic Quantum Matter (2016, methodology): “Computations of α and κ̄ can be a bit more involved, because fluctuations of the bulk metric participate, but let us sketch out the procedure [34; 35; 216].”
Momentum dissipation and effective theories of coherent and incoherent transport (2014, background): “The DC limit of the heat conductivity, κDC ≡ κ(ω → 0), can be calculated analytically [24] and is found to be”