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.
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Correggi, M., Rougerie, N. Effects of Boundary Curvature on Surface Superconductivity. Lett Math Phys 106, 445–467 (2016). https://doi.org/10.1007/s11005-016-0824-z
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DOI: https://doi.org/10.1007/s11005-016-0824-z