A Note on a Generalized AHM Model with Analytical Vortex Solutions

TL;DR

This paper presents exact analytical vortex solutions in a generalized Abelian Higgs model with non-polynomial functions, ensuring integrability and describing a superconducting phase with regular phenomenology.

Contribution

It introduces a generalized AHM model with non-polynomial dielectric and potential functions that admit exact vortex solutions in the self-dual limit.

Findings

All vortex profiles are described by exact analytical expressions.

The model exhibits only a symmetry-breaking superconducting phase.

The vortex solutions are regular and phenomenologically consistent.

Abstract

We study topological vortex solutions in a generalized Abelian Higgs model with non-polynomial dielectric and potential functions. These quantities are chosen by requiring integrability of the self-dual limit of the theory for all values of the magnetic flux. All the vortex profiles are described by exact analytical expressions that solve the self-dual vortex equations. There is only a symmetry-breaking superconducting phase and the model sustains regular phenomenology.