Thermo-electric transport in gauge/gravity models with momentum dissipation

Abstract

We present a systematic definition and analysis of the thermo-electric linear response in gauge/gravity systems focusing especially on models with massive gravity in the bulk and therefore momentum dissipation in the dual field theory. A precise treatment of finite counter-terms proves to be essential to yield a consistent physical picture whose hydrodynamic and beyond-hydrodynamics behaviors noticeably match with field theoretical expectations. The model furnishes a possible gauge/gravity description of the crossover from the quantum-critical to the disorder-dominated Fermi-liquid behaviors, as expected in graphene.

arXiv comment35 pages, 10 figures; v3: precise hydrodynamic bounds added, refinement of some comments about the WL law

References in corpus (39)

• Lectures on holographic methods for condensed matter physics
• Holographic Superconductors
• From AdS/CFT correspondence to hydrodynamics
• Lectures on Holographic Superfluidity and Superconductivity
• Quasinormal modes and holography
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Theory of universal incoherent metallic transport
• Towards strange metallic holography
• A simple holographic model of momentum relaxation
• From AdS/CFT correspondence to hydrodynamics. II. Sound waves
• On Non-Linear Actions for Massive Gravity
• Metallic AdS/CFT
• Holographic Q-lattices
• Optical Conductivity with Holographic Lattices
• Universal Resistivity from Holographic Massive Gravity
• Charge transport in holography with momentum dissipation
• Holography without translational symmetry
• Momentum relaxation in holographic massive gravity
• Holographic Lattices Give the Graviton a Mass
• Boundary Conditions and Dualities: Vector Fields in AdS/CFT
• Novel metals and insulators from holography
• Quantum-critical relativistic magnetotransport in graphene
• Quantum Critical Transport and the Hall Angle
• Holographic Operator Mixing and Quasinormal Modes on the Brane
• Impure AdS/CFT
• Non-Fermi liquids and the Wiedemann-Franz law
• General Relativity and the Cuprates
• The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture
• Analytic DC thermo-electric conductivities in holography with massive gravitons
• Metal-insulator transition in holography
• Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals
• Scale-invariant hyperscaling-violating holographic theories and the resistivity of strange metals with random-field disorder
• From black holes to strange metals
• Unbalanced Holographic Superconductors and Spintronics
• A Dirty Holographic Superconductor
• Introductory notes on holographic superconductors
• Electromagnetic response of strongly coupled plasmas
• On AdS/CFT without Massless Gravitons

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• Spatial Modulation and Conductivities in Effective Holographic Theories
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• Holographic Thermalization and Generalized Vaidya-AdS Solutions in Massive Gravity
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• Counterterms in Massive Gravity Theory
• Two interacting current model of holographic Dirac fluid in graphene
• Geometric Model of Topological Insulators from the Maxwell Algebra
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• Coherence effects in disordered geometries with a field-theory dual
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• Conductivities in an anisotropic medium
• Magnetotransport of Weyl semimetals with ${\mathbb{Z}}_2$ topological charge and chiral anomaly
• Die Hard Holographic Phenomenology of Cuprates
• Hamilton-Jacobi Approach to Holographic Renormalization of Massive Gravity
• Momentum dissipation and holographic transport without self-duality
• Intermediate scalings for Solv, Nil and $S{L}_2(\mathcal{R})$ black branes
• Impurity-Driven Metal-Insulator Transitions in Holography
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