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We have examined the effects of a constant homogeneous magnetic field applied perpendicular to a one-dimensional superlattice having a spatial period of a few hundred angstroms. The Landau levels are not equally spaced. The peaks in the de Haas-van Alphen effects are doubly split due to Van Hove singularities introduced by the superlattice potential.
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Tsu et al. (1974) studied this question.
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