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Spinor vortices in non-relativistic Chern-Simons theory

C. Duval·P. A. Horváthy·L. Palla
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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.

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C. Duval, P. A. Horváthy, L. Palla. 1995-03-09. Spinor vortices in non-relativistic Chern-Simons theory. https://doi.org/10.1103/physrevd.52.4700

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