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

M. Hassaïne·P. A. Horváthy·J. -C. Yera
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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 $λ\to0$ 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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M. Hassaïne, P. A. Horváthy, J. -C. Yera. 2003-03-11. Vortices in the Landau--Ginzburg Model of the Quantized Hall Effect. https://doi.org/10.1088/0305-4470%2F31%2F45%2F007

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