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Plateau Formation by Force from Pinning Centres in the Fractional Quantum Hall Effect

  • H. Bruus
  • O. P. Hansen
  • E. B. Hansen
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 87)

Abstract

Consider a QHE sample containing N electrons. As the flux is increased (decreased) relative to the mid-plateau value, mNФ0, by a given number of flux quanta, the electron liquid responds by forming the same number Vυ (V α) of fractionally charged vortices (antivortices) [1,2,3]:
$$ \begin{array}{*{20}{c}} {V\upsilon = \frac{\Phi }{{{\Phi _0}}} - mN{\text{ }}}&{{\text{for }}\Phi {\text{ > }}mN{\Phi _0}} \\ {V\alpha = mN - \frac{\Phi }{{{\Phi _0}}}}&{{\text{for }}\Phi {\text{ < }}mN{\Phi _0}}\end{array} $$
(1)
.

Keywords

Magnetic Force Force Balance Electric Force Quantum Hall Effect Vortex State 
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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References

  1. 1.
    S.M. Girvin: chap. 10 in The Quantum Hall Effect ed. by R.E.Prange and S.M. Girvin (Springer, Berlin, Heidelberg 1987)Google Scholar
  2. 2.
    H. Bruus, O.P. Hansen, and E.B. Hansen: Jour. Phys. C 21 L375 (1988)CrossRefGoogle Scholar
  3. 3.
    H. Bruus, O.P. Hansen, and E.B. Hansen: to be published in Zeitschrift f. PhysikGoogle Scholar
  4. 4.
    R.B. Laughlin: Phys. Rev. Lett. 50 1395 (1983)CrossRefGoogle Scholar
  5. 5.
    H. Bruus, O.P. Hansen, and E.B. Hansen: Proceedings of the 19. Int. Conf. on the Physics of Semiconductors, Warsaw August 1988Google Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

  • H. Bruus
    • 1
  • O. P. Hansen
    • 2
  • E. B. Hansen
    • 2
  1. 1.Danish Institute of Fundamental MetrologyLyngbyDenmark
  2. 2.Physics Laboratory, H.C. Ørsted InstituteUniversity of CopenhagenCopenhagen ØDenmark

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