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

Abstract

We present a self-dual parity-invariant $U(1)\times U(1)$ Maxwell-Chern-Simons scalar ${\text{QED}}_3$. 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.

9 pages, 8 figures. Published in PLB

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Cited by in corpus (1)

• Vortices in a parity-invariant Maxwell-Chern-Simons model