Abstract

We study the effects of disorder on a holographic superconductor by introducing a random chemical potential on the boundary. We consider various realizations of disorder and find that the critical temperature for superconductivity is enhanced. We also present evidence for a precise form of renormalization in this system. Namely, when the random chemical potential is characterized by a Fourier spectrum of the form ${k}^{\ensuremath{-}2\ensuremath{\alpha}}$ we find that the spectra of the condensate and the charge density are again power laws, whose exponents are accurately and universally governed by linear functions of $\ensuremath{\alpha}$.

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