Abstract:
We consider the Ginzburg Landau functional in a multiply connected planar domain with enclosed magnetic flux. Particular attention is given to the zero set of the order parameter. We show that there exist applied fields for which the zero set is of codimension 1.
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Received: 8 July 1997/ Accepted: 28 January 1999
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Berger, J., Rubinstein, J. On the Zero Set of the Wave Function in Superconductivity. Comm Math Phys 202, 621–628 (1999). https://doi.org/10.1007/s002200050598
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DOI: https://doi.org/10.1007/s002200050598