Abrikosov Vortex Lattices at Weak Magnetic Fields
Mathematical Physics
2011-10-28 v1 math.MP
Abstract
We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations in two dimensions, for magnetic fields larger than but close to the first critical magnetic field.
Cite
@article{arxiv.1110.5987,
title = {Abrikosov Vortex Lattices at Weak Magnetic Fields},
author = {I. M. Sigal and T. Tzaneteas},
journal= {arXiv preprint arXiv:1110.5987},
year = {2011}
}
Comments
27 pages