Thermoelectric DC conductivities from black hole horizons

Abstract

An analytic expression for the DC electrical conductivity in terms of black hole horizon data was recently obtained for a class of holographic black holes exhibiting momentum dissipation. We generalise this result to obtain analogous expressions for the DC thermoelectric and thermal conductivities. We illustrate our results using some holographic Q-lattice black holes as well as for some black holes with linear massless axions, in both $D=4$ and $D=5$ bulk spacetime dimensions, which include both spatially isotropic and anisotropic examples. We show that some recently constructed ground states of holographic Q-lattices, which can be either electrically insulating or metallic, are all thermal insulators.

29 pages. Very minor changes; published version

References in corpus (4)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• On String Theory Duals of Lifshitz-like Fixed Points
• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Anisotropic plasma at finite $U(1)$ chemical potential

Cited by in corpus (33)

• Momentum dissipation and effective theories of coherent and incoherent transport
• Quantum Critical Transport and the Hall Angle
• The thermoelectric properties of inhomogeneous holographic lattices
• Thermal diffusivity and chaos in metals without quasiparticles
• Coherent/incoherent metal transition in a holographic model
• Diffusion and Chaos from near AdS${}_2$ horizons
• Conductivity of a strange metal: from holography to memory functions
• Holography of the Dirac Fluid in Graphene with two currents
• Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity
• Axionic black branes in the k-essence sector of the Horndeski model
• Magnetophonons & type-B Goldstones from Hydrodynamics to Holography
• Holographic fermionic system with dipole coupling on Q-lattice
• Holographic Heat Current as Noether Current
• Conformal field theories in $d=4$ with a helical twist
• Magneto-thermal transport implies an incoherent Hall conductivity
• Anisotropic plasmas from axion and dilaton deformations
• Spectral Functions in V-QCD with Matter: Masses, Susceptibilities, Diffusion and Conductivity
• Holographic transport and density waves
• Small Fermi Surfaces and Strong Correlation Effects in Dirac Materials with Holography
• Diffusion in inhomogeneous media
• Conductivities from attractors
• On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field
• Thermoelectric Transport Coefficients from Charged Solv and Nil Black Holes
• Axionic charged black branes with arbitrary scalar nonminimal coupling
• Holographic thermal DC response in the hydrodynamic limit
• Transport phenomena and Weyl correction in effective holographic theory of momentum dissipation
• Quartic Horndeski, planar black holes, holographic aspects and universal bounds
• Dissipative effects in finite density holographic superfluids
• A novel holographic quantum phase transition and butterfly velocity
• Holographic Dissipation from the Symplectic Current
• On black hole thermodynamics with a momentum relaxation
• Conductivity and Shear Viscosity of $arcsin$-Yang-Mills AdS Black Brane
• Nonlinear Yang-Mills AdS black brane and DC conductivity