Theory of the de Haas-van Alphen Effect for a System of Interacting Fermions

Phys. Rev. 121, 1251 – Published 1 March 1961
J. M. Luttinger


The de Haas-van Alphen effect for a system of interacting fermions is investigated. It is shown that, granting certain analytic properties (which were used before in establishing the existence of a Fermi surface, and which have only been established in the sense of perturbation theory), it is possible to obtain a simple expression for the oscillatory part of the thermodynamic potential. In particular, one finds that the de Haas-van Alphen oscillations have the same amplitude and period as in the usual quasi-particle picture, but that the phase is given by a more complicated proceedure.


  • Received 17 October 1960
  • Published in the issue dated March 1961

© 1961 The American Physical Society

Authors & Affiliations

J. M. Luttinger

  • Department of Physics, Columbia University, New York, New York

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