J. Rubinstein et P. Sternberg, HOMOTOPY CLASSIFICATION OF MINIMIZERS OF THE GINZBURG-LANDAU ENERGY AND THE EXISTENCE OF PERMANENT CURRENTS, Communications in Mathematical Physics, 179(1), 1996, pp. 257-263
Our objective is to explain the phenomenon of permanent currents withi
n the context of the Ginzburg-Landau model for superconductors. Using
variational techniques we make a connection between the formation of p
ermanent currents and the topology of the superconducting sample.