S. Hyun et al., VORTEX SOLUTIONS OF A MAXWELL-CHERN-SIMONS FIELD COUPLED TO 4-FERMIONTHEORY, Physical review. D. Particles and fields, 55(6), 1997, pp. 3900-3902
We find the static vortex solutions of the model of a Maxwell-Chern-Si
mons gauge field coupled to a (2+1)-dimensional four-fermion theory. E
specially, we introduce two matter currents coupled to the gauge field
minimally: the electromagnetic current and a topological current asso
ciated with the electromagnetic current. Unlike other Chern-Simons sol
itons the N-soliton solution of this theory has binding energy and the
stability of the solutions is maintained by the charge conservation l
aws.