The effect of a magnetic field on the motion of electrons in solids

Brailsford, Alan David (1956). The effect of a magnetic field on the motion of electrons in solids. University of Birmingham. Ph.D.

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Abstract

An attempt is made to explain the absence of the de Haas-van Alphen effect in sodium. For the theory of this effect a knowledge of the energy levels of an electron in a uniform magnetic field and the lattice potential is required. The level distribution and level broadening are obtained by applying a theorem due to Peierls to models of an energy band derived from the tight-binding approximation. The initial investigation is based upon the energy bands of the simple cubic and body-centred cubic lattices. The dependence of the results on the models used is then tested by generalizing the energy band of the simple cubic lattice to include the effect of anisotropic force constants. Finally, an energy band based upon that of sodium is investigated. The results of this work are summarized and their relation to the de Haas-van Alphen effect is briefly discussed.

Type of Work:	Thesis (Doctorates > Ph.D.)
Award Type:	Doctorates > Ph.D.
College/Faculty:	Faculties (to 1997) > Faculty of Science
School or Department:	Department of Mathematical Physics
Funders:	None/not applicable
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
URI:	http://etheses.bham.ac.uk/id/eprint/17691

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