Holographic duality and the resistivity of strange metals

Abstract

We present a strange metal, described by a holographic duality, which reproduces the famous linear resistivity of the normal state of the copper oxides, in addition to the linear specific heat. This holographic metal reveals a simple and general mechanism for producing such a resistivity, which requires only quenched disorder and a strongly interacting, locally quantum critical state. The key is the minimal viscosity of the latter: unlike in a Fermi-liquid, the viscosity is very small and therefore is important for the electrical transport. This mechanism produces a resistivity proportional to the electronic entropy.

v2: 20 pages; changed order of presentation and added background information; emphasised local criticality

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• Impure AdS/CFT
• Transport near the Ising-nematic quantum critical point of metals in two dimensions
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• Transport properties of spacetime-filling branes

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