Disordered horizons: Holography of randomly disordered fixed points

Abstract

We deform conformal field theories with classical gravity duals by marginally relevant random disorder. We show that the disorder generates a flow to IR fixed points with a finite amount of disorder. The randomly disordered fixed points are characterized by a dynamical critical exponent $z>1$ that we obtain both analytically (via resummed perturbation theory) and numerically (via a full simulation of the disorder). The IR dynamical critical exponent increases with the magnitude of disorder, probably tending to $z\to \infty$ in the limit of infinite disorder.

v2: typos fixed, refs added, 19 pages, 5 figures

References in corpus (6)

• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• Impure AdS/CFT
• Transport near the Ising-nematic quantum critical point of metals in two dimensions
• Metal-insulator transition in holography
• Scale-invariant hyperscaling-violating holographic theories and the resistivity of strange metals with random-field disorder

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