The thermoelectric properties of inhomogeneous holographic lattices
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Published version
Accepted version
Author(s)
Donos, A
Gauntlett, JP
Type
Journal Article
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 $AdS_2\times\mathbb{R}^2$ in the far IR at T=0.
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 $AdS_2\times\mathbb{R}^2$ in the far IR at T=0.
Date Issued
2015-01-09
Date Acceptance
2014-12-15
Citation
Journal of High Energy Physics, 2015, 2015
ISSN
1126-6708
Publisher
Springer
Journal / Book Title
Journal of High Energy Physics
Volume
2015
Copyright Statement
© The Authors. 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.
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.
License URL
Subjects
hep-th
hep-th
cond-mat.str-el
Publication Status
Published
Article Number
35