Holographic incoherent transport in Einstein-Maxwell-dilaton Gravity

Abstract

Recent progress in the holographic approach makes it more transparent that each conductivity can be decomposed into the coherent contribution due to momentum relaxation and the incoherent contribution due to intrinsic current relaxation. In this paper we investigate this decomposition in the framework of Einstein-Maxwell-dilaton theory. We derive the perturbation equations, which are decoupled for a large class of background solutions, and then obtain the analytic results of conductivity with the slow momentum relaxation in low frequency approximation, which is consistent with the known results from memory matrix techniques.

References in corpus (18)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Quantum criticality
• Theory of universal incoherent metallic transport
• Quantum Criticality
• Holography without translational symmetry
• Momentum dissipation and effective theories of coherent and incoherent transport
• Thermoelectric DC conductivities from black hole horizons
• Quantum Critical Transport and the Hall Angle
• Memory matrix theory of magnetotransport in strange metals
• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Analytic DC thermo-electric conductivities in holography with massive gravitons
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Conductivity of a strange metal: from holography to memory functions
• DC Conductivity of Magnetised Holographic Matter
• Incoherent thermal transport from dirty black holes
• Lower bounds for the conductivities of correlated quantum systems
• A Novel Insulator by Holographic Q-lattices

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• Linear-$T$ resistivity from low to high temperature: axion-dilaton theories
• Complexity growth in Gubser-Rocha models with momentum relaxation
• Thermo-electric Transport of Dyonic Gubser-Rocha Black Holes
• Transport properties in the Horndeski holographic two-currents model
• Alternating current conductivity and superconducting properties of the holographic effective theory
• Diffusion and Butterfly Velocity at Finite Density
• Charge transport properties in a novel holographic quantum phase transition model
• Holography of electrically and magnetically charged black branes
• Thermodynamics, magnetic properties, and global $U(1)$ symmetry breaking of the S-type Gubser-Rocha model
• Holograhic two-currents model with coupling and its conductivites
• Transport properties of a holographic model with novel gauge-axion coupling
• Dissipative electrically driven fluids
• Momentum dissipation and holographic transport without self-duality
• Dependence of the critical temperature and disorder in holographic superconductors on superfluid density
• Dynamical Stability and Critical Exponents of the Neutral (S-type) Gubser-Rocha Model with Momentum Dissipation