Charged Nielsen-Olesen vortices from a generalized Abelian Chern-Simons-Higgs theory

We consider a generalization of an Abelian Chern-Simons-Higgs model by introducing a nonstandard kinetic term. In particular, we show that the Bogomol'nyi equations of the Abelian Higgs theory may be obtained, with their solutions being Nielsen-Olesen vortices with electric charge. In addition, we study the self-duality equations for a generalized nonrelativistic Maxwell-Chern-Simons model. DOI: 10.1103/PhysRevD.87.067701