Emergent scale invariance of disordered horizons

TL;DR

This paper constructs black hole solutions in AdS spaces with boundary CFTs affected by quenched disorder, revealing emergent scale invariance and a specific temperature scaling of entropy density indicative of a disordered quantum critical phase.

Contribution

It introduces new black hole solutions with quenched disorder in AdS/CFT, demonstrating emergent scale invariance and calculating the dynamical critical exponent both numerically and analytically.

Findings

Entropy density scales as s ∼ T^{(d-1)/z}

Dynamical critical exponent z computed numerically and analytically

Supports flow to disordered quantum critical theory in IR

Abstract

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.