Vortex in Maxwell-Chern-Simons models coupled to external backgrounds

TL;DR

This paper investigates vortex solutions in Maxwell-Chern-Simons models with various non-minimal couplings and external backgrounds, identifying conditions for stable vortices and analyzing their properties through numerical methods.

Contribution

It introduces new conditions and models for vortex solutions in Maxwell-Chern-Simons theories with non-minimal couplings and external backgrounds, including numerical analysis.

Findings

Zeeman-type coupling supports vortices with symmetry-breaking potentials

Nonlinear potentials are necessary for energy-minimizing vortices in certain models

Numerical solutions reveal detailed vortex configurations

Abstract

We consider Maxwell-Chern-Simons models involving different non-minimal coupling terms to a non relativistic massive scalar and further coupled to an external uniform background charge. We study how these models can be constrained to support static radially symmetric vortex configurations saturating the lower bound for the energy. Models involving Zeeman-type coupling support such vortices provided the potential has a "symmetry breaking" form and a relation between parameters holds. In models where minimal coupling is supplemented by magnetic and electric field dependant coupling terms, non trivial vortex configurations minimizing the energy occur only when a non linear potential is introduced. The corresponding vortices are studied numerically