Abstract
. We find new stable solutions of the Ginzburg‐Landau equation for high κ superconductors with exterior magnetic field h ex. First, we prove the uniqueness of the Meissner‐type solution. Then, we prove, in the case of a disc domain, the coexistence of branches of solutions with n vortices of degree one, for any n not too high and for a certain range of h ex; and describe these branches. Finally, we give an estimate on the nucleation energy barrier, to pass continuously from a vortexless configuration to a configuration with a centered vortex.
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(Accepted October 29, 1998)
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Serfaty, S. Stable Configurations in Superconductivity: Uniqueness, Multiplicity, and Vortex‐Nucleation. Arch Rational Mech Anal 149, 329–365 (1999). https://doi.org/10.1007/s002050050177
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DOI: https://doi.org/10.1007/s002050050177