Spinor vortices in non-relativistic Chern-Simons theory
C. Duval, P. A. Horváthy, L. Palla
Abstract
The non-relativistic `Dirac' equation of Lévy-Leblond is used to describe a spin 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.
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