Topological Multivortex Solutions of the Self-Dual Maxwell-Chern-Simons-Higgs System

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dc.creatorChae, Dongho
dc.creatorKim, Namkwon
dc.date1997-11-21
dc.date.accessioned2026-07-07T03:09:29Z
dc.date.available2026-07-07T03:09:29Z
dc.descriptionWe study existence and various behaviors of topological multivortices solutions of the relativistic self-dual Maxwell-Chern-Simons-Higgs system. We first prove existence of general topological solutions by applying variational methods to the newly discovered minimizing functional. Then, by an iteration method we prove existence of topological solutions satisfying some extra conditions, which we call admissible solutions. We establish asymptotic exponential decay estimates for these topological solutions. We also investigate the limiting behaviors of the admissible solutions as parameters in our system goes to some limits. For the Abelian Higgs limit we obtain strong convergence result, while for the Chern-Simons limit we only obtained that our admissible solutions are weakly approximating one of the Chern-Simons solutions.
dc.description29 pages, Tmain.tex is body
dc.identifierhttps://arxiv.org/abs/cond-mat/9711212
dc.identifierhttp://arxiv.org/abs/cond-mat/9711212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27905
dc.subjectSuperconductivity
dc.titleTopological Multivortex Solutions of the Self-Dual Maxwell-Chern-Simons-Higgs System
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