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Fractal spectrum of periodic quantum systems in a magnetic field |
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| Affiliation: | 1. Department of Mathematics, Mordovian State University,Saransk 430000, Russian Federation;2. Department of Higher Mathematics, Institute of Fine Mechanics and Optics, Sablinskaya 14,St. Petersburg 197101, Russian Federation;1. Institute for Theoretical Physics, University of Regensburg, 93040 Regensburg, Germany;2. Department of Physics, Faculty of Sciences, Ankara University, 06100 Tandoğan, Ankara, Turkey |
| Abstract: | 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. |
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