Hofstadter rules and generalized dimensions of the spectrum of Harper's equation

DOI10.1088/0305-4470/30/1/009zbMath0917.39003arXivcond-mat/9610177OpenAlexW2025454958MaRDI QIDQ4235278

Andreas Rudinger, Frederic Piechon

Publication date: 18 May 1999

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9610177

zbMATH Keywords

magnetic fieldspectrumoscillatory behaviourfractal dimensionsemiclassical analysiswavepacketHarper's equationBloch electronsrenormalization flowHofstadter rules

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (3)

Asymptotic scaling and universality for skew products with factors in SL(2,) ⋮ Golden mean renormalization for the almost Mathieu operator and related skew products ⋮ Renormalization and universality of the Hofstadter spectrum

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