A Dirty Holographic Superconductor

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 $k^{-2\alpha }$ 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 $\alpha$.

5 pages, 8 figures. v3: discussion improved, references added, typos corrected, results unchanged

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Cited by in corpus (29)

• Introduction to Holographic Superconductor Models
• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Scale-invariant hyperscaling-violating holographic theories and the resistivity of strange metals with random-field disorder
• Disordered horizons: Holography of randomly disordered fixed points
• Emergent scale invariance of disordered horizons
• Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
• Generalized gravitational entropy without replica symmetry
• A Holographic Superfluid Symphony
• Holographic pinning
• Holographic sliding stripes
• Introductory notes on holographic superconductors
• Perturbatively charged holographic disorder
• The Holographic Disorder-Driven Superconductor-Metal Transition
• Floquet superconductor in holography
• Holographic superconductor induced by charge density waves
• Holographic two-point functions in a disorder system
• Holographic Approach to Entanglement Entropy in Disordered Systems
• Shear hydrodynamics, momentum relaxation, and the KSS bound
• Conductivity bound from dirty black holes
• Coherence effects in disordered geometries with a field-theory dual
• Zeroth Order Phase Transition in a Holographic Superconductor with Single Impurity
• Marginal and Irrelevant Disorder in Einstein-Maxwell backgrounds
• Transport in a gravity dual with a varying gravitational coupling constant
• Non-equilibrium dynamics in Holography
• Noisy Branes
• Holographic quantum singularity
• Dependence of the critical temperature and disorder in holographic superconductors on superfluid density
• Disorder in AdS${}_3$/CFT${}_2$
• Seeing bulk perturbations in Lifshitz holography