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Interfacial Tension and Interface Delocalization Phase Boundary for Strongly Type-I Superconductors
Authors:C J Boulter  J O Indekeu
Abstract:We analytically determine the interface delocalization (or wetting) transition phase boundary in the limit of strongly type-I superconductors. In particular, within Ginzburg–Landau theory we derive an analytic expression for the reduced surface tension, GammaSC/N, of a type-I superconductor. We find that the truncated expansion 
$$\Gamma _{SC/N} \approx 2\sqrt 2 /3 - 1.02817\sqrt K - 0.13307K\sqrt K $$
(where kappa is the Ginzburg–Landau parameter) is so accurate in the entire type-I regime 
$$0 \leqslant K \leqslant 1/\sqrt 2 $$
that derivation of higher-order terms is unnecessary. We further derive an expression for the wall/superconductor interfacial tension which again proves accurate across a broad range of kappa values. These expansions allow us to locate the low-kappa interface delocalization phase boundary accurately, complementing previous numerical results for the wetting phase diagram.
Keywords:Ginzburg–  Landau theory  interfacial tension  superconductivity: wetting transitions
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