Abelian Chern-Simons vortices in the presence of magnetic impurities

Abstract

Abstract This work deals with Abelian Chern-Simons vortices interacting with magnetic impurities. We compute static solutions with winding numbers zero and one. Then, we develop a numerical algorithm to simulate their collisions. Collisions between a vortex with winding number two and a magnetic impurity are also performed. All scattering results are interpreted in terms of the moduli space approximation and compared with the Abelian Maxwell-Higgs model.

Keywords

• Field Theories in Lower Dimensions
• Solitons Monopoles and Instantons