On Thouless bandwidth formula in the Hofstadter model

Abstract

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

8 pages, 2 figures

References in corpus (2)

• Hofstadter's Butterfly in Quantum Geometry
• On the algebraic area of lattice walks and the Hofstadter model