Abstract
Effects of non-local electrodynamics on surface superconductivity in type-I superconductors in zero magnetic field are predicted, employing the Ginzburg-Landau (GL) theory as the local approximation. A perturbation expansion in the ratio ξ0/ξ(T) is set up, where ξ0 is the Pippard (or BCS) coherence length and ξ the temperature-dependent GL coherence length of superconductivity. For materials with surface enhancement of superconductivity, characterized by a negative GL surface extrapolation length b and by a surface critical temperature Tcs that exceeds the bulk Tc, an additional increase of Tcs is predicted. Calculations to first order in ξ0/ξ(T) show that about 13% of the recently measured difference Tcs−Tc≈0.05 K in a surface-enhanced Sn film, is attributable to a non-local electrodynamics effect.
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