Second-quantization picture of the edge currents in the fractional quantum Hall effect
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We study the quantum theory of two-dimensional electrons in a magnetic field and an electric field generated by a homogeneous background. The dynamics separates into a microscopic and macroscopic mode. The latter is a circular Hall current which is described by a chiral quantum field theory. It is shown how in this second quantized picture a Laughlin-type wave function emerges.
12 pages, 1 figure, LaTeX; comments on the particle density and the charge added, the figure improved
12 pages, 1 figure, LaTeX; comments on the particle density and the charge added, the figure improved