Vortex Condensates in the Relativistic Self-Dual Maxwell-Chern-Simons-higgs System

Details Vortex Condensates in the Relativistic Self-Dual Maxwell-Chern-Simons-higgs System Vortex Condensates in the Relativistic Self-Dual Maxwell-Chern-Simons-higgs System

1997-11-21

arxiv.org/abs/cond-mat/9711211v1

Physics

Condensed Matter

Superconductivity

20 pages

Scientific paper

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.

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