Holographic superconductor with disorder

D. Areán; A. Farahi; L. A. Pando Zayas; I. Salazar Landea; A. Scardicchio

doi:10.1103/PhysRevD.89.106003

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Holographic superconductor with disorder

D. Areán, A. Farahi, L. A. Pando Zayas, I. Salazar Landea, A. Scardicchio

DOI 10.1103/PhysRevD.89.106003 · Physical Review D

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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.