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Thouless bandwidth formula in the Hofstadter model

2017/03/28 by Stéphane Ouvry, Stephane Ouvry, Shuang Wu
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Bandwidth (computing) #Computer science #Euler's formula #Mathematical analysis #Mathematics #Moment (physics) #Physics #Pure mathematics #Quantum mechanics #Random Matrices and Applications #Telecommunications #cond-mat.stat-mech #math-ph #math.MP

paper · pdf · doi:10.1088/1751-8121/aa9042

8 pages, 2 figures

arxiv created 2017/03/28 · openalex publication_date 2017/10/02 · arxiv updated 2017/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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

Citations