Vortices and domain walls in a Chern-Simons theory with magnetic moment interaction

TL;DR

This paper investigates vortices and domain walls in a 2+1 dimensional Abelian Maxwell-Chern-Simons model with magnetic interactions, revealing self-dual solutions and their relation to domain walls in the large flux limit.

Contribution

It introduces and analyzes vortex and domain wall solutions in a novel Chern-Simons model with magnetic moment interactions, highlighting their properties and interrelations.

Findings

Self-dual vortex solutions are characterized in the model.

Domain wall solutions are identified as one-dimensional solitons.

Vortices correspond to domain walls in the large flux limit.

Abstract

We study the structure and properties of vortices in a recently proposed Abelian Maxwell-Chern-Simons model in $2 +1 $ dimensions. The model which is described by gauge field interacting with a complex scalar field, includes two parity and time violating terms: the Chern-Simons and the anomalous magnetic terms. Self-dual relativistic vortices are discussed in detail. We also find one dimensional soliton solutions of the domain wall type. The vortices are correctly described by the domain wall solutions in the large flux limit.