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

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

2003-03-11

arxiv.org/abs/hep-th/0303100v1

J.Phys.A31:9073-9079,1998

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0305-4470/31/45/007

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 $\lambda\to0$ 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.

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