Thouless bandwidth formula in the Hofstadter model

DOI10.1088/1751-8121/aa9042zbMath1382.82046arXiv1703.09634OpenAlexW2602036908MaRDI QIDQ4600900

Shuang Wu, Stéphane Ouvry

Publication date: 18 January 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09634

zbMATH Keywords

\(n\)th momentHofstadter spectrumThouless bandwidth

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Statistical mechanics of solids (82D20)

Uses Software

• DLMF

Cites Work

• Scaling for the discrete Mathieu equation
• Mellin transforms and asymptotics: Harmonic sums
• Zero measure spectrum for the almost Mathieu operator
• NIST digital library of mathematical functions
• On the total bandwidth for the rational Harper's equation
• On the algebraic area of lattice walks and the Hofstadter model
• Hofstadter’s butterfly in quantum geometry

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