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The Fractional Quantum Hall Effect

  • M. Jonson
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 67)

Abstract

There is by now a rather well established standard picture of the fractional quantum Hall effect . The theoretical background of this picture is reviewed here. The basis is Laughlin’s conjecture for the many-body wavefunction describing the “1/m-state” and the hierarchy of states obtained from these by adding “quasi-hole” and “quasi-electron” excitations. We shall in particular describe how the standard theory relates to three experimental facts: (1) certain electron densities corresponding to a fractional filling of the lowest Landau level are “special”, (2) the excitations from the corresponding ground states have a finite energy, hence dissipationless flow is possible at these densities, (3) the Hall steps have a “finite width”.

Keywords

Angular Momentum Landau Level Total Angular Momentum Pair Correlation Function Quantum Hall Effect 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • M. Jonson
    • 1
  1. 1.Institute of Theoretical PhysicsChalmers University of TechnologyGöteborgSweden

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