Semiclassical analysis and the magnetization of the Hofstadter model.
The magnetization and the de Haas-van Alphen oscillations of Bloch electrons are calculated near commensurate magnetic fluxes. Two phases that appear in the quantization of mixed systems--the Berry phase and a phase first discovered by Wilkinson--play a key role in the theory.
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Department of Physics, Technion 32000, Haifa, Israel.
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