The Fractional Quantum Hall Effect at Even Denominators

  • J. P. Eisenstein
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 87)


The recent discovery of the fractional quantum Hall effect (FQHE) at the even—denominator filling fraction v=5/2 represents yet another surprise in the area of two-dimensional electron physics. Previous to the work of WILLETT, et al.[1] the FQHE was strongly believed to occur solely at odd-denominator rational fractional fillings (v=p/q,q-odd) of the Landau levels. This belief was generated by both a wealth of experimental data and strong theoretical arguments[2] going as deep as the Pauli exclusion principle. How then does this new observation fit in with our overall understanding of the FQHE and 2D correlation effects in general? Here we present data[3] strongly suggesting that the underlying many-body ground state for the v=5/2 FQHE is not spin polarized, in contrast to the canonical v=1/3 and 2/3 incompressible quantum liquid states. Further, the apparent absence of even-denominator states in the lowest Landau level v<2 points to important differences between electron correlations in the first and second Landau levels. The purpose of the present paper is to review the existing experimental data[1,3] on the v=5/2 FQHE and show how this startling new result can, in principle at least, be accommodated by a generalized picture of the FQHE.


Tilt Angle Filling Factor Landau Level Pauli Exclusion Principle Zeeman Energy 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    R. Willett, J.P. Eisenstein, H.L. Stormer, D.C. Tsui, A.C. Gossard, and J.H. English, Phys. Rev. Lett. 59, 1776 (1987).CrossRefGoogle Scholar
  2. 2.
    The Quantum Hall Effect,eds. R.E. Prange and S.M. Girvin (Springer-Verlag, New York, 1987).Google Scholar
  3. 3.
    J.P. Eisenstein, R.L. Willett, H.L. Stormer, D.C. Tsui, A.C. Cossard and J.H. English, to be published.Google Scholar
  4. 4.
    R.G. Clark, R.J. Nicholas, and A. Usher, Surf. Sci. 170, 141 (1986) and R.G. Clark, R.J. Nicholas, J.R. Mallett, A.M. Suckling, A. Usher, J.J. Harris, and C.T. Foxon, in Proceedings of the Eighteenth International Conference on the Physics of Semiconductors, Stockholm, Sweden, 1986, ed. O. Engstrom ( World Scientific, Singapore, 1987 ), p. 393.Google Scholar
  5. 5.
    R.L. Willett, H.L. Stormer, D.C. Tsui, L.N. Pfeiffer, K.W. West and K.W. Baldwin, Phys. Rev. B, to be published.Google Scholar
  6. 6.
    R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983).CrossRefGoogle Scholar
  7. 7.
    B.I. Halperin, Heiv. Phys. Acta 56, 75 (1983).Google Scholar
  8. 8.
    Daijiro Yoshioka, Phys. Rev. B 29, 6833 (1984).CrossRefGoogle Scholar
  9. 9.
    Tapash Chakraborty, Pekka Pietilainen and F.C. Zhang, Phys. Rev. Lett. 57, 130 (1986).CrossRefGoogle Scholar
  10. 10.
    E.H. Rezayi, Phys. Rev. B 36, 5454 (1987).CrossRefGoogle Scholar
  11. 11.
    F.D.M. Haldane and E.H. Rezayi, Phys. Rev. Lett. 60, 956 (1988).CrossRefGoogle Scholar
  12. 12.
    S.M. Girvin, A.H. MacDonald, D. Yoshioka, unpublished.Google Scholar
  13. 13.
    F.F. Fang and P.J. Stiles, Phys. Rev. 174, 823 (1968).CrossRefGoogle Scholar
  14. 14.
    F. Stern and W.E. Howard, Phys. Rev. 163, 816 (1967).CrossRefGoogle Scholar
  15. 15.
    A.H. MacDonald and G.C. Aers, Phys. Rev. B 29, 5976 (1984).CrossRefGoogle Scholar
  16. 16.
    D. Yoshioka, J. Phys. Soc. Jpn. 53, 3740 (1084).CrossRefGoogle Scholar
  17. 17.
    R.J. Haug, K. von Klitzing, R.J. Nicholas, J.C. Maan and G. Weimann, Phys. Rev. B 36, 4528 (1087).CrossRefGoogle Scholar
  18. 18.
    D.A. Syphers and J. Furneaux, Surf. Sci. 196, 252 (1988).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

  • J. P. Eisenstein
    • 1
  1. 1.AT&T Bell LaboratoriesMurray HillUSA

Personalised recommendations