Semiclassical analysis and the magnetization of the Hofstadter model
Statistical Mechanics
2009-11-10 v2 Mesoscale and Nanoscale Physics
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.
Cite
@article{arxiv.cond-mat/0306318,
title = {Semiclassical analysis and the magnetization of the Hofstadter model},
author = {O. Gat and J. E. Avron},
journal= {arXiv preprint arXiv:cond-mat/0306318},
year = {2009}
}
Comments
10 pages, 1 figure