Abstract
Our objective is to explain the phenomenon of permanent currents within the context of the Ginzburg-Landau model for superconductors. Using variational techniques we make a connection between the formation of permanent currents and the topology of the superconducting sample.
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Communicated by J.L. Lebowitz
Research supported in part by the Fund for the Promotion of Research at the Technion.
Research supported in part by a grant from the National Science Foundation.
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Rubinstein, J., Sternberg, P. Homotopy classification of minimizers of the Ginzburg-Landau energy and the existence of permanent currents. Commun.Math. Phys. 179, 257–263 (1996). https://doi.org/10.1007/BF02103722
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DOI: https://doi.org/10.1007/BF02103722