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The thermoelectric properties of inhomogeneous holographic lattices.

Donos, A. and Gauntlett, J.P. (2015) 'The thermoelectric properties of inhomogeneous holographic lattices.', Journal of high energy physics., 2015 (1). p. 35.


We consider inhomogeneous, periodic, holographic lattices of D = 4 Einstein-Maxwell theory. We show that the DC thermoelectric conductivity matrix can be expressed analytically in terms of the horizon data of the corresponding black hole solution. We numerically construct such black hole solutions for lattices consisting of one, two and ten wave-numbers. We numerically determine the AC electric conductivity which reveals Drude physics as well as resonances associated with sound modes. No evidence for an intermediate frequency scaling regime is found. All of the monochromatic lattice black holes that we have constructed exhibit scaling behaviour at low temperatures which is consistent with the appearance of AdS2×R2 in the far IR at T = 0.

Item Type:Article
Keywords:Gauge-gravity correspondence, Holography and condensed matter physics (AdS/CMT).
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Publisher 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.
Date accepted:15 December 2014
Date deposited:20 April 2015
Date of first online publication:09 January 2015
Date first made open access:No date available

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