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This article explains de Haas-van Alphen oscillations in Bloch electrons, suggesting new insights into magnetic effects in crystals.
In this article we consider a Bloch electron in a crystal lattice subject to slowly varying external magnetic fields. We offer an explanation of de Haas-van Alphen oscillations in terms of energy levels of approximate eigenfunctions for the magnetic Schrödinger operator by using a gaussian beam construction for a small enough magnetic field.
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Dimassi et al. (2026) studied this question.
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