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The thermoelectric properties of inhomogeneous holographic lattices
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The thermoelectric properties of inhomogeneous holographic lattices
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.
Forward citations
Cited by 2 Pith papers
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Disordered Charged Horizons
Fully backreacted disordered charged black branes show disorder survives in the infrared of AdS4, producing residual resistivity, but decays in AdS3, indicating a Harris-criterion violation in strongly coupled systems.
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Quantum critical theories in a periodic potential: strange metallic thermoelectric and magnetotransport
Holographic models of quantum critical 2D systems with zero-average periodic potentials show better conductivity, bad-metal electrical but Drude-like thermal transport, and approximately B-linear magnetoresistance.
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