DC Conductivity and Higher Derivative Gravity

Abstract

For Gauss-Bonnet gravity and in the context of holography we show how the thermal DC conductivity can be obtained by solving a generalised system of Stokes equations for an auxiliary fluid on a curved black hole horizon. For more general higher derivative theories of gravity coupled to gauge-fields, we also analyse the linearised thermal and electric currents that are produced by DC thermal and electric sources. We show how suitably defined DC transport current fluxes of the dual field theory are given by current fluxes defined at the black horizon.

50 pages. Very minor corrections, reference added. Published version

References in corpus (7)

• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Thermoelectric DC conductivities from black hole horizons
• Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
• Five-dimensional rotating black holes in Einstein-Gauss-Bonnet theory
• Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity
• Holographic thermal DC response in the hydrodynamic limit

Cited by in corpus (16)

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• Diffusion for Holographic Lattices
• Diffusion in inhomogeneous media
• Diffusivities bounds in the presence of Weyl corrections
• Thermoelectric Transport Coefficients from Charged Solv and Nil Black Holes
• Anomalous transport and holographic momentum relaxation
• Holographic calcualtion of the magneto-transport coefficients in Dirac semimetals
• Membrane paradigm and RG flows for anomalous holographic theories
• Holographic Dissipation from the Symplectic Current
• Intermediate scalings for Solv, Nil and $S{L}_2(\mathcal{R})$ black branes
• Impurity-Driven Metal-Insulator Transitions in Holography
• Born-Infeld corrections to holographic transport coefficients with spatially modulated chemical potential