Maxwell--Chern-Simons gauged non-relativistic O(3) model with self-dual vortices

TL;DR

This paper introduces a non-relativistic 2+1D gauged Chern-Simons O(3) sigma model with a Maxwell term, demonstrating it supports stable self-dual vortices exhibiting Hall behavior, expanding understanding of topological solitons.

Contribution

It presents a non-relativistic gauged Chern-Simons O(3) sigma model with Maxwell term supporting stable self-dual vortices with Hall dynamics, a novel extension of previous models.

Findings

Supports topologically stable self-dual vortices

Vortices exhibit Hall behavior in dynamics

Extends understanding of non-relativistic topological solitons

Abstract

A non-relativistic version of the 2+1 dimensional gauged Chern-Simons O(3) sigma model, augmented by a Maxwell term, is presented and shown to support topologically stable static self-dual vortices. Exactly like their counterparts of the ungauged model, these vortices are shown to exhibit Hall behaviour in their dynamics.