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arXiv · 1504.03324

Emergent scale invariance of disordered horizons

Sean A. Hartnoll·David M. Ramirez·Jorge E. Santos
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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.

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Sean A. Hartnoll, David M. Ramirez, Jorge E. Santos. 2015-04-13. Emergent scale invariance of disordered horizons. https://doi.org/10.1007/jhep09(2015)160

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