Slope of Hc2 close to Tc versus the size of the Cooper pairs: The role of disorder in Dynes superconductors

František Herman; Richard Hlubina

doi:10.1103/PhysRevB.108.134518

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Slope of Hc2 close to Tc versus the size of the Cooper pairs: The role of disorder in Dynes superconductors

František Herman, Richard Hlubina

DOI 10.1103/PhysRevB.108.134518 · Physical Review B

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Abstract

The size of the Cooper pair ξpair is one of the basic characteristics of a superconductor, but it is not possible to measure it directly. It might be argued that ξpair can be determined from the value ξslope extracted from the measurement of the slope of Hc2 close to Tc. Taking into account both pair-conserving and pair-breaking scattering on impurities within the recently developed theory of Dynes superconductors, we perform an explicit calculation of ξpair and ξslope. We show that the two quantities agree only in clean superconductors. In particular, when the pair-breaking disorder approaches the quantum critical point, ξpair stays finite, whereas ξslope diverges.