On the stability of normal states for a generalized Ginzburg-Landau model
Abstract
We formulate a spectral problem related to the onset of superconductivity for a generalized Ginzburg-Landau model, where the order parameter and the magnetic potential are defined in the whole space. This model is devoted to the `proximity effect' for a superconducting sample surrounded by a normal material. In the regime when the Ginzburg-Landau parameter (of the superconducting material) is large, we estimate the critical applied magnetic field for which the normal state will lose its stability, a result that has some roots in the physical literature. In some asymptotic situations, we recover results related to the `standard' Ginzburg-Landau model, where we mention in particular the two-term expansion for the upper critical field obtained by Helffer-Pan.
Keywords
Cite
@article{arxiv.math-ph/0609026,
title = {On the stability of normal states for a generalized Ginzburg-Landau model},
author = {Ayman Kachmar},
journal= {arXiv preprint arXiv:math-ph/0609026},
year = {2007}
}
Comments
52 pages (revised version)