BPS chiral vortices in Maxwell-Higgs electrodynamics

We investigate the existence of Bogomol’nyi-Prasad-Sommerfield (BPS) structures in Maxwell-Higgs electrodynamics immersed in a chiral medium. The medium has its electromagnetic properties controlled by both a Chern-Simons term and a neutral scalar field. We implement the Bogomol’nyi-Prasad-Sommerfield technique and minimize the corresponding total energy. As a consequence, we get the BPS potential and the self-dual equations whose solutions saturate the Bogomol’nyi bound. In such a context, we look for vortices in two chiral media. The first one engenders localized configurations with an exponential decay similar to that of the standard Abrikosov-Nielsen-Olesen solutions. The second medium generates delocalized profiles whose tail follows a power-law decay. In both cases, we discuss the effects on the shape of the field profiles due to the chiral medium.