Spinor vortices in non-relativistic Chern-Simons theory
C. Duval, P.A. Horv\'athy, L. Palla
TL;DR
This paper constructs static, self-dual spinor vortex solutions in a non-relativistic Chern-Simons gauge theory, extending the understanding of topological solitons in such systems.
Contribution
It introduces explicit static vortex solutions for spin-1/2 particles in a non-relativistic Chern-Simons framework, linking them to uniform magnetic backgrounds.
Findings
Constructed explicit self-dual vortex solutions.
Extended solutions to uniform magnetic backgrounds.
Enhanced understanding of topological vortices in non-relativistic gauge theories.
Abstract
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.
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