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The thermoelectric properties of inhomogeneous holographic lattices

Donos, A.; Gauntlett, J.P.

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J.P. Gauntlett


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.


Donos, A., & Gauntlett, J. (2015). The thermoelectric properties of inhomogeneous holographic lattices. Journal of High Energy Physics, 2015(1),

Journal Article Type Article
Acceptance Date Dec 15, 2014
Online Publication Date Jan 9, 2015
Publication Date Jan 9, 2015
Deposit Date Dec 10, 2014
Publicly Available Date Apr 20, 2015
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2015
Issue 1
Keywords Gauge-gravity 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.

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