We investigate, within 2D Ginzburg-Landau theory, the ground state of a type-II superconducting cylinder in a parallel magnetic field varying between the second and third critical values. In this regime, superconductivity is restricted to a thin shell along the boundary of the sample and is to leading order constant in the direction tangential to the boundary. We exhibit a correction to this effect, showing that the curvature of the sample affects the distribution of superconductivity.

Effects of boundary curvature on surface superconductivity / Correggi, Michele; Rougerie, Nicolas. - In: LETTERS IN MATHEMATICAL PHYSICS. - ISSN 0377-9017. - 106:4(2016), pp. 445-467. [10.1007/s11005-016-0824-z]

Effects of boundary curvature on surface superconductivity

CORREGGI, MICHELE;
2016

Abstract

We investigate, within 2D Ginzburg-Landau theory, the ground state of a type-II superconducting cylinder in a parallel magnetic field varying between the second and third critical values. In this regime, superconductivity is restricted to a thin shell along the boundary of the sample and is to leading order constant in the direction tangential to the boundary. We exhibit a correction to this effect, showing that the curvature of the sample affects the distribution of superconductivity.
2016
statistical and nonlinear physics; mathematical physics
01 Pubblicazione su rivista::01a Articolo in rivista
Effects of boundary curvature on surface superconductivity / Correggi, Michele; Rougerie, Nicolas. - In: LETTERS IN MATHEMATICAL PHYSICS. - ISSN 0377-9017. - 106:4(2016), pp. 445-467. [10.1007/s11005-016-0824-z]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/960358
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