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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…
math-ph2002
Adiabatic charge pumping in open quantum systems
J. E. Avron, A. Elgart, G. M. Graf +2
We introduce a mathematical setup for charge transport in quantum pump connected to a number of external leads. It is proved that under rather general assumption on the Hamiltonian…