New BPS Vortices in Maxwell-Chern-Simons-Higgs Model with Neutral Scalar Field
Keywords:
BPS equations, BPS Lagrangian, Maxwell-Chern-Simons-Higgs, topological defects, vortexAbstract
Vortices are topological defects that exist in the planar dimension. In this paper, we present first-order formalism to Maxwell-Chern-Simons-Higgs model with general coupling functions using the BPS Lagrangian method. We obtain finite an energy solution with the potential that depends on the generalized functions w(| | ) , N and h(| | ) ,N . We introduce some particular generalized functions and present the numerical solution to the obtained BPS equations. We find that the vortex solution of our model does not have electric field and the energy density forms a ring-like structure. Using the conserved local U(1) current, we obtain that the charge density of this model is localized and the charge itself is proportional to the magnetic flux.
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