Eur. Phys. J. C 19, 561-566
DOI: 10.1007/s100520100618

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

N. Ilieva^{1, 2} and W. Thirring<sup>1, 2

1</sup>  Institut für Theoretische Physik, Universität Wien, Österreich
²  Erwin Schrödinger International Institute for Mathematical Physics, Wien, Österreich

ilieva@ap.univie.ac.at

(Received: 30 January 2001 / Published online: 23 March 2001 -© Springer-Verlag 2001)

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 a 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.

© Società Italiana di Fisica, Springer-Verlag 2001