Scaling of the Holographic AC conductivity for non-Fermi liquids at criticality

Abstract

The frequency dependence of the AC conductivity is studied in a holographic model of a non-fermi liquid that is amenable to both analytical and numerical computation. In the regime that dissipation dominates the DC conductivity, the AC conductivity is described well in the IR by a Drude peak despite the absence of quasiparticles. In the regime where pair-production-like processes dominate the conductivity there is no Drude peak. A scaling tail is found for the AC conductivity that is independent of the charge density and momentum dissipation. Evidence is given that this scaling tail ${\sigma }_{AC}\sim {\omega }^m$ appears generically in quantum critical holographic systems and the associated scaling exponent $m$ is calculated in terms of the Lifshitz and conduction critical exponents.

66 pages, 14 figures and 2 tables

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• Hyperscaling Violating Solutions in Generalised EMD Theory
• Inability of linear axion holographic Gubser-Rocha model to capture all the transport anomalies of strange metals
• An effective framework for strange metallic transport
• Critical scaling of the AC conductivity and momentum dissipation
• Stranger than Metals