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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.

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