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.| File | Dimensione | Formato | |
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Correggi_Effects-of-boundary_2016.pdf
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