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Upper critical field in disordered two-dimensional superconductors

Robert A. Smith, Beccy S. Handy, Vinay Ambegaokar

DOI 10.1103/PhysRevB.61.6352 · Physical Review B

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Abstract

We present calculations of the upper critical field Hc2(T) in superconducting films as a function of increasing disorder (as measured by the normal state resistance per square R□). In contradiction to previous work, we find that there is no anomalous low temperature positive curvature in Hc2 vs T as disorder is increased. We show that the previous prediction of this effect is due to an unjustified analytical approximation of sums occurring in the perturbative calculation. Our treatment includes both a careful analysis of first-order perturbation theory, and a nonperturbative resummation technique. No anomalous curvature is found in either case. We present our results in graphical form.

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