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

TL;DR

This paper introduces a self-dual, parity-invariant Maxwell-Chern-Simons model in 2+1 dimensions, deriving self-duality equations, and providing explicit numerical solutions for vortices and solitons with potential condensed matter applications.

Contribution

It develops a novel self-dual Maxwell-Chern-Simons scalar QED3 model with explicit solutions, highlighting the role of the mixed Chern-Simons term in topological solitons.

Findings

Existence of finite-energy topological vortices.

Presence of non-topological solitons.

Role of the mixed Chern-Simons term in the model.

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.