Spinor vortices in non-relativistic Chern-Simons theory

Abstract

The non-relativistic `Dirac' equation of Lévy-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.

7 pages, Plain Tex

References in corpus (4)

• Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems
• Conformal Properties of Chern-Simons Vortices in External Fields
• Conformal Properties of Chern-Simons Vortices in External Fields
• Conformal symmetry of the coupled Chern-Simons and gauged nonlinear Schrödinger equations

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