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

  • N. Ilieva
  • W. Thirring
Theoretical physics
  • 50 Downloads

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.

Keywords

Magnetic Field Wave Function Field Theory Quantum Field Theory Quantum Theory 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • N. Ilieva
    • 1
  • W. Thirring
    • 1
  1. 1.Institut für Theoretische Physik, Universität Wien, Österreich AT

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