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The oscillatory free energy for nearly free electrons in a magnetic field is expanded to second order in the periodic lattice potential. The result gives expressions for the de Haas-van Alphen oscillations corresponding to orbits on the Fermi surface involving at most two Bragg reflections, including magnetic breakdown. The result is a substantiation of the effective-mass approximation, with a field-dependent mass, in the case of a closed Fermi surface, and of Falicov and Stachowiak's semiclassical treatment.
Physical Review – American Physical Society (APS)
Published: Oct 15, 1967
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