Fully backreacted disordered charged black branes show disorder survives in the infrared of AdS4, producing residual resistivity, but decays in AdS3, indicating a Harris-criterion violation in strongly coupled systems.
Emergent scale invariance of disordered horizons
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We construct planar black hole solutions in AdS_3 and AdS_4 in which the boundary CFT is perturbed by marginally relevant quenched disorder. We show that the entropy density of the horizon has the scaling temperature dependence s \sim T^{(d-1)/z} (with d=2,3). The dynamical critical exponent z is computed numerically and, at weak disorder, analytically. These results lend support to the claim that the perturbed CFT flows to a disordered quantum critical theory in the IR.
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Disordered Charged Horizons
Fully backreacted disordered charged black branes show disorder survives in the infrared of AdS4, producing residual resistivity, but decays in AdS3, indicating a Harris-criterion violation in strongly coupled systems.