Fractal spectrum of periodic quantum systems in a magnetic field

Models of two-dimensional periodic quantum-mechanical systems in a uniform magnetic field are considered. Results of the numerical analysis of the energy spectrum for these models are presented. The flux–energy diagrams for the magnetic Bloch bands are obtained. Evidence for a fractal structure of t...

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Bibliographic Details
Published in:	Chaos, solitons and fractals Vol. 11; no. 1; pp. 281 - 288
Main Authors:	Geyler, V.A., Popov, I.Yu, Popov, A.V., Ovechkina, A.A.
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 2000
Online Access:	Get full text
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Summary:	Models of two-dimensional periodic quantum-mechanical systems in a uniform magnetic field are considered. Results of the numerical analysis of the energy spectrum for these models are presented. The flux–energy diagrams for the magnetic Bloch bands are obtained. Evidence for a fractal structure of these diagrams is given.
ISSN:	0960-0779 1873-2887
DOI:	10.1016/S0960-0779(98)00296-3