A Dirty Holographic Superconductor
arXiv:1308.1920 · doi:10.1103/PhysRevD.89.106003
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 $k^{-2α}$ 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 $α$.
5 pages, 8 figures. v3: discussion improved, references added, typos corrected, results unchanged