Remarks on Vortex-like Solutions in Topologically Massive Planar Abelian Gauge Models

We study vortex-like configurations in planar Abelian gauge models that include a Chern-Simons term. In pure Chern-Simons Electrodynamics, for instance, such objects appear as point-like magnetic vortices. Then, although giving rise to finite flux, they yield divergent magnetic energy. As it is well-known, such a scenario is deeply changed whenever Higgs mechanism takes place and local symmetry is spontaneously broken down. Now, soliton-like configurations carry finite energy, as well. On the other hand, even in the simpler, say, Maxwell-Chern-Simons framework, the dynamical (Maxwell) term is shown to modify the point-like structure of the pure Chern-Simons vortices. Indeed, we have seen that the magnetic field naturally acquires a smooth behavior (quite similar to the Nielsen-Olensen solution in (3+1) dimensions), providing finite magnetic flux and energy for this sort of vortex. It is also identified a ``magnetic symmetry'' between a point-like charge and an azytmuthal-type current: namely, these configurations yield the same magnetic field. Furthermore, we tackle the case in which a spinless particle interacts non-minimally with a charge-vortex composite, so that an analogue of the Aharonov-Casher effect comes out from our considerations. In our case, such a phase depends upon mass and distance parameters, which naturally suggests us an way for measuring Chern-Simons parameter