Vortex Condensates in the Relativistic Self-Dual Maxwell-Chern-Simons-higgs System
Superconductivity
2016-08-31 v1
Abstract
The existence of vortex condensates in the self-dual Maxwell-Chern-Simons-Higgs System on a flat torus is proved by the super-sub solution method under the assumption that the total vortex number in a given periodic domain is not too large. We also study the limiting behaviors of the solutions as the Chern-Simons coupling constant goes to some limits. In the Abelian-Higgs limit we find that our solutions strongly converges to the corresponding vortex condensates of the Abelian-Higgs system, while in the Chern-Simons limit the solutions strongly converges to the corresponding vortex condensates of Chern-Simons system.
Keywords
Cite
@article{arxiv.cond-mat/9711211,
title = {Vortex Condensates in the Relativistic Self-Dual Maxwell-Chern-Simons-higgs System},
author = {Dongho Chae and Namkwon Kim},
journal= {arXiv preprint arXiv:cond-mat/9711211},
year = {2016}
}
Comments
20 pages