Semiclassical analysis and the magnetization of the Hofstadter model
arXiv:cond-mat/0306318 · doi:10.1103/PhysRevLett.91.186801
Abstract
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's phase and a phase first discovered by Wilkinson--play a key role in the theory.
10 pages, 1 figure