Vortex solutions of a Maxwell-Chern-Simons field coupled to four-fermion theory

TL;DR

This paper derives static vortex solutions in a (2+1)-dimensional Maxwell-Chern-Simons gauge theory coupled with a four-fermion interaction, highlighting their stability due to charge conservation.

Contribution

It introduces a novel vortex solution with binding energy and stability in a Maxwell-Chern-Simons and four-fermion coupled model, including topological and electromagnetic currents.

Findings

Vortex solutions exhibit binding energy.

Solutions are stabilized by charge conservation.

Distinct from other Chern-Simons solitons.

Abstract

We find the static vortex solutions of the model of Maxwell-Chern-Simons gauge field coupled to a (2+1)-dimensional four-fermion theory. Especially, we introduce two matter currents coupled to the gauge field minimally: the electromagnetic current and a topological current associated with the electromagnetic current. Unlike other Chern-Simons solitons the N-soliton solution of this theory has binding energy and the stability of the solutions is maintained by the charge conservation laws.