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

@article{Hassaine1998VorticesIT, title={Vortices in the Landau--Ginzburg Model of the Quantized Hall Effect}, author={Mokhtar Hassaine and P. A. Horv'athy and J.-C. Y{\'e}ra}, journal={Journal of Physics A}, year={1998}, volume={31}, pages={9073-9079} }

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 common λ→0 limit of two slightly different non-relativistic Maxwell-Chern-Simons models of the type recently introduced by Manton. The equivalence with the model of Zhang, Hansson and Kivelson is demonstrated.

## 6 Citations

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