Spinor vortices in nonrelativistic Chern-Simons theory

C. Duval, P. A. Horváthy, L. Palla
1995 Physical Review D, Particles and fields  
The non-relativistic 'Dirac' equation of L\'evy-Leblond is used to describe a spin {\small 1/2} particle interacting with a Chern-Simons gauge field. Static, purely magnetic, self-dual spinor vortices are constructed. The solution can be 'exported' to a uniform magnetic background field.
doi:10.1103/physrevd.52.4700 pmid:10019693 fatcat:dbl6gsfc5nayznsd73ovtgx3hm