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.

Correggi, M., Rougerie, N. (2016). Effects of Boundary Curvature on Surface Superconductivity. LETTERS IN MATHEMATICAL PHYSICS, 106(4), 445-467 [10.1007/s11005-016-0824-z].

Effects of Boundary Curvature on Surface Superconductivity

CORREGGI, MICHELE;
2016-01-01

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
Correggi, M., Rougerie, N. (2016). Effects of Boundary Curvature on Surface Superconductivity. LETTERS IN MATHEMATICAL PHYSICS, 106(4), 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/11590/304449
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