Drude in D major

Abstract

We study holographic momentum relaxation in the limit of a large number of spacetime dimensions D. For an axion model we find that momentum conservation is restored as D becomes large. To compensate we scale the strength of the sources with D so that momentum is relaxed even at infinite D. We analytically obtain the quasi-normal modes which control electric and heat transport, and give their frequencies in a 1/D expansion. We also obtain the AC thermal conductivity as an expansion in 1/D, which at leading order takes Drude form. To order 1/D our analytical result provides a reasonable approximation to the AC conductivity even at D=4, establishing large D as a practical method in this context. As a further application, we discuss the signature of the transition from coherent to incoherent behaviour known to exist in the system for finite D.

arXiv comment19 pages, 2 figures

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Cited by in corpus (22)

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• Holographic Axion Model: a simple gravitational tool for quantum matter
• Hydro-elastic Complementarity in Black Branes at large D
• The Large D Limit of Einstein's Equations
• On Effective Holographic Mott Insulators
• The holographic dual of a Riemann problem in a large number of dimensions
• Low frequency propagating shear waves in holographic liquids
• Rotating black holes and black bars at large D
• Thermal transport and quasi-normal modes in Gauss-Bonnet-axions theory
• Holographic Turbulence in a Large Number of Dimensions
• Approximate symmetries, pseudo-Goldstones, and the second law of thermodynamics
• Holographic Bjorken Flow at Large-D
• The Large Dimension Limit of a Small Black Hole Instability in Anti-de Sitter Space
• Large D holography with metric deformations
• Nonlinear conductivity and the ringdown of currents in metallic holography
• Mixed electrical-heat noise spectrum in a quantum dot
• Elastic instability of black rings at large D
• Holographic Observables at Large $d$
• Coherence effects in disordered geometries with a field-theory dual
• Non-equilibrium dynamics in Holography
• Black Rings in Large $D$ Membrane Paradigm at the First Order
• An analytic approach for holographic entanglement entropy at (quantum) criticality