Vortices in Maxwell-Chern-Simons-Higgs models with nonminimal coupling

TL;DR

This paper explores vortex solutions in generalized Maxwell-Chern-Simons models with nonminimal coupling, revealing novel vortex behaviors and flux inversion phenomena through advanced Bogomol'nyi techniques.

Contribution

It introduces a new Bogomol'nyi procedure supporting multiple first order equations and uncovers unprecedented vortex flux inversion effects.

Findings

Vortex solutions with unique core behaviors.

Development of a novel Bogomol'nyi methodology.

Discovery of magnetic flux inversion in vortices.

Abstract

We investigate the presence of vortex configurations in generalized Maxwell-Chern-Simons models with nonminimal coupling, in which we introduce a function that modifies the dynamical term of the scalar field in the Lagrangian. We first follow a route already considered in previous works to develop the Bogomol'nyi procedure, and, in this context, we use the first order equations to obtain a vortex with a novel behavior at its core. We then go further and introduce a novel procedure to develop the Bogomol'nyi methodology. It supports distinct first order equations, and we then investigate another model, in which the vortex may engender inversion of the magnetic flux, an effect with no precedents in the study of vortices within the nonminimal context.