Self-dual Maxwell-Chern-Simons solitons in a parity-invariant scenario

Abstract

We present a self-dual parity-invariant U (1)×U (1) Maxwell-Chern-Simons scalar QED 3 . We show that the energy functional admits a Bogomol'nyi-type lower bound, whose saturation gives rise to first order self-duality equations. We perform a detailed analysis of this system, discussing its main features and exhibiting explicit numerical solutions corresponding to finite-energy topological vortices and non-topological solitons. The mixed Chern-Simons term plays an important role here, ensuring the main properties of the model and suggesting possible applications in condensed matter.