Vórtices no modelo sigma-O(3)-Maxwell-Chern-Simons-Higgs com acoplamento não mínimo

Abstract

In this work we consider an O(3) sigma model coupled nonminimally with an Abelian gauge field, whose dynamic is governed both by Maxwell and Chem-Simons terms. If the spontaneous symmetry breaking is taken place, we found that a new Maxwell as well as Chem-Simons term are generated, even with a generic Higgs potential. For a specific choice of this potential and a critical value of the nonminimal coupling constant there are both topological and nontopological self-dual soliton solutions, where the topological ones are considered. In addition, the introduction of a parameter in the Higgs potential allows the existence of asymmetric and symmetric phase. Static solitons of the vortices type satisfying the Bogomol'nyi bound are studied numerically and plotted.