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Magnetic Interaction in a 2-D Electron Gas

  • D. Shoenberg

Abstract

When I came to the University of Pittsburgh for a sabbatical half year in 1962, I had just completed a study of the de Haas-van Alphen (dHvA) effect in copper, silver and gold [1]. The main purpose of the study was to determine the Fermi surfaces (FS) of the metals, but I also found some peculiar features of the dHvA oscillations which could be plausibly interpreted if it was supposed that the electrons ‘perceived’ the magnetic field as B rather than H. Ordinarily, the difference 4πM between B and H is too small to make any appreciable difference, but if the oscillations are sufficiently strong to make 4πdM/dB ~ 1, there is a kind of feed-back effect, which has come to be known as magnetic interaction (MI) and which can significantly modify the form of the oscillations. I consulted Ted Holstein about this problem and asked him if it was possible to prove by microscopic theory that the relevant field was indeed B rather than H. After quite a short while he told me that within the Hartree approximation he could give such a proof, but he had some reservations and it was only 11 years later that he published a detailed analysis in collaboration with NORTON and PINCUS [2]. In the meantime PIPPARD [3] had given a thermodynamic argument to show that B rather than H was the relevant field. Since its discovery over 20 years ago MI has been found to have a variety of interesting consequences and many of these have been demonstrated experimentally; a detailed account is available in two recent reviews [4,5].

Keywords

Fermi Surface Magnetic Interaction Landau Level Quantum Hall Effect Relevant Field 
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.
    D. Shoenberg: Phil. Trans. Roy. Soc. A255, 85 (1962)ADSGoogle Scholar
  2. 2.
    T.D. Holstein, R.E. Norton, P. Pincus: Phys. Rev. B8, 2649 (1973)ADSGoogle Scholar
  3. 3.
    A.B. Pippard: Proc. Roy. Soc. A272, 192 (1963)ADSGoogle Scholar
  4. 4.
    A.B. Pippard: In Electrons at the Fermi Surface, ed. by M. Springford (Cambridge University Press 1980) chap.4Google Scholar
  5. 5.
    D. Shoenberg: Magnetic Oscillations in Metals (Cambridge University Press 1984) chap.6CrossRefGoogle Scholar
  6. 6.
    M.Ya. Azbel: Phys. Rev. B26, 3430 (1980)MathSciNetADSGoogle Scholar
  7. 7.
    I.D. Vagner, T. Maniv, E. Ehrenfreund: Phys. Rev. Lett. 51, 1700 (1985)ADSCrossRefGoogle Scholar
  8. 8.
    R.S. Markiewicz, M. Meskoob, C. Zahopoulos: Phys. Rev. Lett. 54, 1436 (1985)ADSCrossRefGoogle Scholar
  9. 9.
    R. Peierls: Z. Phys. 81, 186 (1933)ADSzbMATHCrossRefGoogle Scholar
  10. 10.
    D. Shoenberg: J. Low Temp. Phys. 56, 417 (1984)ADSCrossRefGoogle Scholar
  11. 11.
    J.H. Condon: Phys. Rev. 145, 526 (1966)ADSCrossRefGoogle Scholar
  12. 12.
    J.H. Condon, R.E. Walstedt: Phys. Rev. Lett. 21, 612 (1968)ADSCrossRefGoogle Scholar
  13. 13.
    I. Privorotskii: Thermodynamic Theory of Domain Structures (John Wiley & Sons, New York, Toronto 1976)Google Scholar
  14. 14.
    I.D. Vagner: private communicationGoogle Scholar
  15. 15.
    R.S. Markiewicz: preprint (1986) and private communicationGoogle Scholar
  16. 16.
    F. Fang, P.J. Stiles: Phys. Rev. B28, 6992 (1983)ADSGoogle Scholar
  17. 17.
    J.P. Eisenstein, H.L. Stormer, V. Narayanamurti, A.Y. Cho, A.C. Gossard, C.W. Tu: Phys. Rev. Lett. 55, 875 (1985)ADSCrossRefGoogle Scholar
  18. 18.
    R. Griessen: Cryogenics 13, 375 (1973)CrossRefGoogle Scholar
  19. 19.
    J.P. Eisenstein: Appl. Phys. Lett. 46, 695 (1985)ADSCrossRefGoogle Scholar

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© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • D. Shoenberg

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