Spectrum of the Schrödinger Equation on a Self-Similar Structure

The spectrum of the Schrodinger equation, with magnetic field, on a model self-similar structure is considered. Nesting properties are formulated. Low-field behavior of the spectrm edge (of interest for superconductive diamagnetism) is discussed. Comparison between self-similar structures and regula...

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Bibliographic Details
Published in:Physical review letters 1982-01, Vol.49 (16), p.1194-1197
Main Authors: Rammal, R., Toulouse, G.
Format: Article
Language:English
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Summary:The spectrum of the Schrodinger equation, with magnetic field, on a model self-similar structure is considered. Nesting properties are formulated. Low-field behavior of the spectrm edge (of interest for superconductive diamagnetism) is discussed. Comparison between self-similar structures and regular lattices is emphasized.
ISSN:0031-9007
DOI:10.1103/PhysRevLett.49.1194