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- W2100372229 abstract "Numerical solutions are obtained for a model Hamiltonian which exhibits the phenomena of magnetic breakdown. The Hamiltonian is based on the k·p perturbation method and hence is not restricted to the free-electron approximation. The electron trajectories in k-space corresponding to this model are two closed orbits: for low magnetic fields one is within the other; for high fields they are two intersecting elliptical orbits. Magnetic energy levels are calculated as a function of the energy gap and are found to evolve from degenerate equally spaced levels for very small gaps to levels with different spacings determined by the zero-field orbits for larger gaps. The behavior in the intermediate region is compatible with the expression for the breakdown probability derived by several authors. Fourier analysis of the density of states exhibits the frequencies that would be observed in the de Haas-van Alphen effect. An approximate method due to Pippard is applied to this model and yields results which are in good agreement with the exact results when the effect of the energy gap on the geometry of the orbits is negligible." @default.
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- W2100372229 date "1967-03-01" @default.
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- W2100372229 title "Exact solutions for a magnetic breakdown model" @default.
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- W2100372229 doi "https://doi.org/10.1016/0022-3697(67)90321-6" @default.
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