Abstract
We investigate the effects of a finite electronic bandwidth in a disordered superconductor by considering the current tight binding Anderson model of disorder and a mean field BCS interaction. A general relation, between the transition temperatureT c and the disorder averaged spectral density associated with the electron propagator between neighboring lattice sites is found which enables us to predict superconductivity in the disorder induced localized state. A reasonable interpolation, between weak and strong disorder, is investigated and it predicts a maximum bandwidth where superconductivity is destroyed. In this case,T c as a function of the disorder is shown for a few values of the hopping constant. A brief discussion of the model validity range and its applications to disordered granular superconductors is presented.
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Marín, F.P., Rangel, R. Superconductivity and random disorder in the narrow and wide band limit. J Low Temp Phys 92, 225–238 (1993). https://doi.org/10.1007/BF00682339
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DOI: https://doi.org/10.1007/BF00682339