Effects of boundary curvature on surface superconductivity
Mathematical Physics
2019-10-01 v2 Superconductivity
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1511.01278,
title = {Effects of boundary curvature on surface superconductivity},
author = {Michele Correggi and Nicolas Rougerie},
journal= {arXiv preprint arXiv:1511.01278},
year = {2019}
}