Surface Effects in Superconductors with Corners
Mathematical Physics
2021-06-30 v2 math.MP
Abstract
We review some recent results on the phenomenon of surface superconductivity in the framework of Ginzburg-Landau theory for extreme type-II materials. In particular, we focus on the response of the superconductor to a strong longitudinal magnetic field in the regime where superconductivity survives only along the boundary of the wire. We derive the energy and density asymptotics for samples with smooth cross section, up to curvature-dependent terms. Furthermore, we discuss the corrections in presence of corners at the boundary of the sample.
Cite
@article{arxiv.2003.00521,
title = {Surface Effects in Superconductors with Corners},
author = {Michele Correggi},
journal= {arXiv preprint arXiv:2003.00521},
year = {2021}
}
Comments
Proceeding for XXI Congresso UMI 2019, final version, Boll. Unione Mat. Ital. to appear, 17 pages, pdfLaTeX