Eur. Phys. J. C 19, 561-566
Second-quantization picture of the edge currents in the fractional quantum Hall effectN. Ilieva1, 2 and W. Thirring1, 2
1 Institut für Theoretische Physik, Universität Wien, Österreich
2 Erwin Schrödinger International Institute for Mathematical Physics, Wien, Österreich
(Received: 30 January 2001 / Published online: 23 March 2001 -© Springer-Verlag 2001)
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