Self-dual Ginzburg-Landau vortices in a disk
Superconductivity
2009-10-31 v1
Abstract
We study the properties of the Ginzburg-Laundau model in the self-dual point for a two-dimensional finite system . By a numerical calculation we analyze the solutions of the Euler-Lagrange equations for a cylindrically symmetric ansatz. We also study the self-dual equations for this case. We find that the minimal energy configurations are not given by the Bogomol'nyi equations but by solutions to the Euler Lagrange ones. With a simple approximation scheme we reproduce the result of the numerical calculation.
Cite
@article{arxiv.cond-mat/0005199,
title = {Self-dual Ginzburg-Landau vortices in a disk},
author = {G. S. Lozano and M. V. Manias and E. F. Moreno},
journal= {arXiv preprint arXiv:cond-mat/0005199},
year = {2009}
}
Comments
8 pages, 4 figures, RevTex macros