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1 Sapienza University of Rome - Dipartimento di Matematica -Guido Castelnuovo- Roma I 2 Department of Physics and Astronomy 3 LPMMC - Laboratoire de physique et modélisation des milieux condensés

Abstract : We analyze the response of a type II superconducting wire to an external magnetic field parallel to it in the framework of Ginzburg-Landau theory. We focus on the surface superconductivity regime of applied field between the second and third critical values, where the superconducting state survives only close to the sample-s boundary. Our first finding is that, in first approximation, the shape of the boundary plays no role in determining the density of superconducting electrons. A second order term is however isolated, directly proportional to the mean curvature of the boundary. This demonstrates that points of higher boundary curvature counted inwards attract superconducting electrons.





Author: Michele Correggi - Bharathiganesh Devanarayanan - Nicolas Rougerie -

Source: https://hal.archives-ouvertes.fr/



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