Second-quantization picture of the edge currents in the fractional quantum Hall effect
Mathematical Physics
2009-01-07 v2 Condensed Matter
High Energy Physics - Theory
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0010038,
title = {Second-quantization picture of the edge currents in the fractional quantum Hall effect},
author = {Nevena Ilieva and Walter Thirring},
journal= {arXiv preprint arXiv:math-ph/0010038},
year = {2009}
}
Comments
12 pages, 1 figure, LaTeX; comments on the particle density and the charge added, the figure improved