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Homotopy classification of minimizers of the Ginzburg-Landau energy and the existence of permanent currents. (English) Zbl 0860.35131
Superconductors are materials whose resistivity is effectively zero. The authors use the Ginzburg-Landau theory to model the superconductor and find a connection between the formation of permanent currents and the topology of the superconducting sample.

MSC:
35Q60 PDEs in connection with optics and electromagnetic theory
82D55 Statistical mechanical studies of superconductors
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