Vortices in the Landau--Ginzburg Model of the Quantized Hall Effect

Abstract

The `Landau--Ginzburg' theory of Girvin and MacDonald, modified by adding the natural magnetic term, is shown to admit stable topological as well as non-topological vortex solutions. The system is the commun $\lambda \to 0$ limit of two slightly different non-relativistic Maxwell--Chern--Simons models of the type introduced recently by Manton. The equivalence with the model of Zhang, Hansson and Kivelson is demonstrated.

8 pages. Plain TeX, 2 eps figures. Published in Journal of Physics A (Math. Gen.) 31, 9073-79 (1998)