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Magnetic Properties of Nearly Free Electrons. II. Oscillatory Properties

Magnetic Properties of Nearly Free Electrons. II. Oscillatory Properties 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review American Physical Society (APS)

Magnetic Properties of Nearly Free Electrons. II. Oscillatory Properties

Physical Review , Volume 162 (3) – Oct 15, 1967
7 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1967 The American Physical Society
ISSN
1536-6065
DOI
10.1103/PhysRev.162.558
Publisher site
See Article on Publisher Site

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.

Journal

Physical ReviewAmerican Physical Society (APS)

Published: Oct 15, 1967

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