Breakdown of superconductivity in a magnetic field with self-intersecting zero set
Mathematical Physics
2021-04-23 v1 math.MP
Abstract
We prove that the lowest eigenvalue of the Laplace operator with a magnetic field having a self-intersecting zero set is a monotone function of the parameter defining the strength of the magnetic field, in a neighborhood of infinity. We apply this monotonicity result on the study of the transition from superconducting to normal states for the Ginzburg-Landau model, and prove that the transition occurs at a unique threshold value of the applied magnetic field.
Keywords
Cite
@article{arxiv.2104.11007,
title = {Breakdown of superconductivity in a magnetic field with self-intersecting zero set},
author = {Kamel Attar},
journal= {arXiv preprint arXiv:2104.11007},
year = {2021}
}