On the zero set of the wave function in superconductivity
This paper considers the Ginzburg-Landau functional in a multiply connected planar domain with enclosed magnetic flux. The zero set of the order parameter is described. It is proved that there exist applied fields for which the zero et is of codimension 1. These results give a justification to the phase transition diagram of the nonuniform superconducting rings. The appearance of a singly connected state has effects on the behaviour of the supercurrent. Theorem 3 of this paper provides a theoretical support to the phase transition picture for arbitrary thickness provided some condition holds.
scientific article; zbMATH DE number 1335321