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Holographic superconductor with disorder

2013/08/31 by Daniel Arean, Daniel Areán, Arya Farahi +3 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.dis-nn #cond-mat.supr-con #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.89.106003

published as Phys. Rev. D 89, 106003 (2014) · 5 pages, 8 figures. v3: discussion improved, references added, typos corrected, results unchanged

openalex publication_date 2014/05/13 · arxiv created 2014/06/20 · arxiv updated 2014/06/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

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\ensuremathα 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 \ensuremathα.

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