On Thouless bandwidth formula in the Hofstadter model
Mathematical Physics
2017-12-06 v1 Statistical Mechanics
math.MP
Abstract
We generalize Thouless bandwidth formula to its n-th moment. We obtain a closed expression in terms of polygamma, zeta and Euler numbers.
Cite
@article{arxiv.1703.09634,
title = {On Thouless bandwidth formula in the Hofstadter model},
author = {Stephane Ouvry and Shuang Wu},
journal= {arXiv preprint arXiv:1703.09634},
year = {2017}
}
Comments
8 pages, 2 figures