Coulomb-induced anomalies in highly disordered superconductors: Application to tunneling

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Abstract
The effects of diffusion-enhanced Coulomb interactions in highly disordered superconductors are studied by use of coupled Eliashberg-type equations in the exact eigenstate representation. Solution of these equations shows how Coulomb induced inelastic scattering leads to gaplessness and other low-frequency structure in the superconducting state which can be qualitatively correlated with that in the normal density of states. Recent superconducting tunneling experiments compare favorably with this theory.