Magnetic Interaction in a 2-D Electron Gas

  • D. Shoenberg


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].


Fermi Surface Magnetic Interaction Landau Level Quantum Hall Effect Relevant Field 
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© Springer-Verlag New York Inc. 1987

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  • D. Shoenberg

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