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most citedTopological quantum numbers in the Hall effect

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cond-mat.stat-mech2002

Magnetic Fingerprints of Fractal Spectra and Duality of Hofstadter Models

O. Gat, J. E. Avron

We study the de-Haas van Alphen oscillations in the magnetization of the Hofstadter model. Near a split band the magnetization is a rapidly oscillating function of the Fermi energy…