Nontopological self-dual Maxwell-Higgs vortices

TL;DR

This paper explores the existence and properties of self-dual nontopological vortices in generalized Maxwell-Higgs models, demonstrating their numerical profiles and boundary behaviors.

Contribution

It introduces a specific sixth-order potential enabling nontopological vortex solutions and analyzes their approach to boundary conditions.

Findings

Existence of BPS nontopological vortices with energy proportional to magnetic flux

Numerical profiles illustrating boundary approach and nontopological behavior

Profiles highlighting key features of the vortices

Abstract

We study the existence of self-dual nontopological vortices in generalized Maxwell-Higgs models recently introduced in Ref. \cite{gv}. Our investigation is explicitly illustrated by choosing a sixth-order self-interaction potential, which is the simplest one allowing the existence of nontopological structures. We specify some Maxwell-Higgs models yielding BPS nontopological vortices having energy proportional to the magnetic flux, $\Phi_{B}$, and whose profiles are numerically achieved. Particularly, we investigate the way the new solutions approach the boundary values, from which we verify their nontopological behavior. Finally, we depict the profiles numerically found, highlighting the main features they present.