Fermionic vortex solutions in Chern-Simons electrodynamics

We present anyonic vortex solutions made of real electrons which could be interpreted as nontopological solitions of the (2+1)-dimensional Chern-Simons electrodynamics. The $n$-soliton solutions, which we obtain by imposing and effective axial symmetry on the (3+1)-dimensional quantum electrodynamics, have $4n$ real parameters which represent the position, size, and phase of each soliton.