Abstract
According to the law of corresponding states, the properly scaled critical fields of a BCS superconductor are universal functions of the reduced temperatureT/T c . In realistic superconductors strong-coupling effects can cause deviations from this universal behavior. We present numerical results for the strong-coupling anomalies in the temperature dependence of the upper critical fieldH c2 and the Ginzburg-Landau parameter κ1. The calculations are based on the Eliashberg theory for strong-coupling superconductors and are performed for several realistic superconductors as well as for a series of model superconductors with increasing coupling strength. It is demonstrated that the magnitude of the deviations can be estimated from the magnitude of the ratioT c /〈ω〉, where〈ω〉 is an average phonon frequency. This rule does not apply to amorphous superconductors. The reason for this is shown to be due to the large weight ofα 2 F(ω) at low frequencies which has been observed in these materials.
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Rainer, D., Bergmann, G. Temperature dependence ofH c2 andк 1 in strong coupling superconductors. J Low Temp Phys 14, 501–519 (1974). https://doi.org/10.1007/BF00658876
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DOI: https://doi.org/10.1007/BF00658876