Analytic DC thermo-electric conductivities in holography with massive gravitons

Abstract

We provide an analytical derivation of the thermo-electric transport coefficients of the simplest momentum-dissipating model in gauge/gravity where the lack of momentum conservation is realized by means of explicit graviton mass in the bulk. We rely on the procedure recently described by Donos and Gauntlett in the context of Q-lattices and holographic models where momentum dissipation is realized through non-trivial scalars. The analytical approach confirms the results found previously by means of numerical computations.

arXiv comment9 pages, no figures, minor comments added, version to appear on PRD

References in corpus (13)

• A Stress Tensor for Anti-de Sitter Gravity
• Lectures on holographic methods for condensed matter physics
• Lectures on Holographic Superfluidity and Superconductivity
• 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
• Holographic Q-lattices
• Universal Resistivity from Holographic Massive Gravity
• Holography without translational symmetry
• Momentum relaxation in holographic massive gravity
• Quantum-critical relativistic magnetotransport in graphene
• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Metal-insulator transition in holography
• Introductory notes on holographic superconductors

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