Charged Nielsen-Olesen vortices from a Generalized Abelian Chern-Simons-Higgs Theory

TL;DR

This paper explores a generalized abelian Chern-Simons-Higgs model with a nonstandard kinetic term, deriving Bogomolnyi equations and analyzing Nielsen-Olesen vortices with electric charge, as well as self-duality in a non-relativistic model.

Contribution

It introduces a novel generalization of the abelian Chern-Simons-Higgs model and derives new self-duality equations for a non-relativistic Maxwell-Chern-Simons system.

Findings

Derivation of Bogomolnyi equations for the generalized model

Identification of charged Nielsen-Olesen vortex solutions

Analysis of self-duality equations in a non-relativistic context

Abstract

We consider a generalization of abelian Chern-Simons-Higgs model by introducing a nonstandard kinetic term. In particular we show that the Bogomolnyi equations of the abelian Higgs theory may be obtained, being its solutions Nielsen-Olesen vortices with electric charge. In addition we study the self-duality equations for a generalized non-relativistic Maxwell-Chern-Simons model.