Universal and shape dependent features of surface superconductivity

Michele Correggi (), Bharathiganesh Devanarayanan and Nicolas Rougerie
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Michele Correggi: Dipartimento di Matematica, “Sapienza” Università di Roma
Bharathiganesh Devanarayanan: National Institute of Technology Rourkela
Nicolas Rougerie: Université Grenoble-Alpes & CNRS, LPMMC (UMR 5493)

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 11, 1-7

Abstract: 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.

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1140/epjb/e2017-80498-3

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