Hierarchical structure of Azbel-Hofstadter problem: strings and loose ends of Bethe ansatz.

DOI10.1016/S0550-3213(98)00346-0zbMath1047.82511arXivcond-mat/9711274MaRDI QIDQ1570492

J. C. Talstra, Alexander G. Abanov, Paul B. Wiegmann

Publication date: 11 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9711274

zbMATH Keywords

irrational spectral flow

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23)

Related Items (4)

Deriving exact energy solutions to the symmetrizedq-difference Harper equation ⋮ Universal hierarchical structure of quasiperiodic eigenfunctions ⋮ Renormalization and universality of the Hofstadter spectrum ⋮ Popcorn Drude weights from quantum symmetry

Cites Work

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• Scaling for the discrete Mathieu equation
• On the measure of the spectrum for the almost Mathieu operator
• Almost periodic Schrödinger operators: A review
• Cantor spectrum for the almost Mathieu equation
• The coexistence problem for the discrete Mathieu operator
• Zero measure spectrum for the almost Mathieu operator
• Exact solution for the spin-\(s\) \(XXZ\) quantum chain with non-diagonal twists
• Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential
• Generalized Bethe ansatz equations for Hofstadter problem
• Models of the Hofstadter-type

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