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Thouless bandwidth formula in the Hofstadter model
Shuang Wu (LPTMS, Université Paris-Sud)
I will show a method of D. J. Thouless to calculate the Hofstadter spectrum bandwidth in relation to the Catalan constant. And I will present how we generalize Thouless bandwidth formula to its n-th moment and obtain a closed expression in terms of polygamma, zeta and Euler numbers.
- Reference: S. Ouvry and S. Wu, Thouless bandwidth formula in the Hofstadter model, J. Phys. A: Math. Theor. 50, 495204 (2017)