The thermoelectric properties of inhomogeneous holographic lattices

By Aristomenis Donos, J. Gauntlett. 2014

172 citations recorded by the source corpus.

A bstractWe 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$$ Ad{S}_2\times {\mathrm{\mathbb{R}}}^2 $$ in the far IR at T = 0.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a16b0c69b0e7116f270b6079a88fe5eff9f404fc

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Citations in the corpus

Dissecting holographic conductivities (2015, background): “This result can be generalised to more complicated holographic theories in a natural way [18, 32].”
Holographic Quantum Matter (2016, background): “Numerical work supports this conclusion [218], though other numerical results suggest that nonlinear effects might lead to the survival of inhomogeneities as T → 0 [357] (this evidence is most compelling with a large amplitude lattice).”
Numerical methods for finding stationary gravitational solutions (2015, methodology): “[252] A.”
Thermoelectric DC conductivities from black hole horizons (2014, methodology): “ductivity matrix is diagonal and furthermore the models have = because of the underlying timereversal invariance. However, our approach can be extended to more general set-ups as we will explain in [23]. We end by brie y commenting on two papers that appeared very recently. In [35] black holes invol”
Entanglement islands in higher dimensions (2019, methodology): “This in turn agrees with the non-analytic behavior of the DeTurck gauge close to the conformal boundary that was uncovered in [37,38].”
Momentum dissipation and effective theories of coherent and incoherent transport (2014, methodology): “ generally, adapting a procedure rst described in [16], DC conductivities have been computed analytically, in a variety of models where momentum is not conserved, in terms of black brane horizon data [11,15,17{27]. These include systems in which translational symmetry is broken strongly such that th”