Z. Nemeth, VORTEX SOLUTIONS IN AXIAL OR CHIRAL COUPLED NONRELATIVISTIC SPINOR-CHERN-SIMONS THEORY, Physical review. D. Particles and fields, 56(8), 1997, pp. 5066-5070
The interaction of a spin-1/2 particle (described by the nonrelativist
ic ''Dirac'' equation of Levy-Leblond) with Chern-Simons gauge fields
is studied. It is shown that, similar to the four-dimensional spinor m
odels, there is a consistent possibility of coupling them also by axia
l-or chiral-type currents. Static self-dual vortex solutions together
with a vortex lattice are found with the new couplings.