The thermoelectric properties of inhomogeneous holographic lattices

Donos, A.; Gauntlett, J.P.

Abstract

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.

Citation

Donos, A., & Gauntlett, J. (2015). The thermoelectric properties of inhomogeneous holographic lattices. Journal of High Energy Physics, 2015(1), https://doi.org/10.1007/jhep01%282015%29035

• 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
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2015
• Issue: 1
• DOI: https://doi.org/10.1007/jhep01%282015%29035
• Keywords: Gauge-gravity correspondence, Holography and condensed matter physics (AdS/CMT).
• Public URL: https://durham-repository.worktribe.com/output/1418639