Maxwell–Chern–Simons Gauged Nonrelativistic O(3) Model with Self-Dual Vortices

Abstract

A nonrelativistic 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. Same as their counterparts of the ungauged model, these vortices are shown to exhibit Hall behavior in their dynamics.