Magnetic Properties of Nearly Free Electrons. II. Oscillatory Properties
- 15 October 1967
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 162 (3) , 558-564
- https://doi.org/10.1103/physrev.162.558
Abstract
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.Keywords
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