Numerical analysis of the non-universal continuous wetting transition in a type-I superconductor

The prediction of van Leeuwen and Hauge of a non-universal exponent associated with the critical wetting transition in type-I superconductors is verified by numerical solution of the Ginzburg–Landau equations. Using their interface potential we also compare analytic and numerical results for the singular behaviour of the superconducting surface sheath approaching the bulk multicritical point, previously studied by Speth. We furthermore test the accuracy of the low-κ series expansion for the locus of critical wetting, with κ the Ginzburg–Landau parameter.