Second-quantization picture of the edge currents in the fractional quantum Hall effect

Details Second-quantization picture of the edge currents in the fractional quantum Hall effect Second-quantization picture of the edge currents in the fractional quantum Hall effect

2000-10-24

arxiv.org/abs/math-ph/0010038v2

Eur.Phys.J.C19:561-566,2001

Physics

Mathematical Physics

12 pages, 1 figure, LaTeX; comments on the particle density and the charge added, the figure improved

Scientific paper

10.1007/s100520100618

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.

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