On Thouless bandwidth formula in the Hofstadter model

Stéphane Ouvry 1 Shuang Wu 1

Journal of Physics A: Mathematical and General , IOP Publishing, 2017

We generalize Thouless bandwidth formula to its n-th moment. We obtain a closed expression in terms of polygamma, zeta and Euler numbers.

  • 1. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques