Self-dual Chern-Simons Solitons in the Planar Ferromagnet

TL;DR

This paper investigates self-dual solitons in a planar ferromagnet coupled to a Chern-Simons gauge field, revealing how external magnetic fields and background charge influence their properties.

Contribution

It introduces a new class of self-dual soliton solutions in a ferromagnet-Chern-Simons system, analyzing their structure and dependence on external parameters.

Findings

Rich variety of rotationally symmetric solitons identified

Soliton properties depend on external magnetic field and background charge

Solutions exist for various uniform background charge densities

Abstract

We consider a uniaxial planar ferromagnet coupled minimally to an Abelian Chern-Simons gauge field and study self-dual solitons which saturate the Bogomol'nyi bound. We find a rich structure of rotationally symmetric static soliton solutions for various uniform background charge densities. For a given ferromagnet material, the properties of these solitons are controlled only by the external magnetic field and the background charge.