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Telecommunications and Radio Engineering
SJR: 0.202 SNIP: 0.2 CiteScore™: 0.23

ISSN 印刷: 0040-2508
ISSN オンライン: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v66.i4.70
pages 353-362

Three Types of Spectra in One-Dimensional Systems with Random Correlated Binary Potential

O. V. Usatenko
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine 12, Academician Proskura Str., Kharkiv 61085, Ukraine
S. S. Melnyk
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine 12, Academician Proskura Str., Kharkiv 61085, Ukraine
V. A. Yampol'skii
O.Ya. Usikov Institute for Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12 Academician Proskura St., Kharkiv 61085, Ukraine; V. Karazin National University of Kharkiv, 4 Svobody Sq., Kharkiv 61022, Ukraine
M. Johansson
Department of Physics and Measurement Technology, IFM Linkoping University SE-581 83 Linkoping Sweden
L. Kroon
Department of Physics and Measurement Technology, IFM Linkoping University SE-581 83 Linkoping Sweden
R. Riklund
Department of Physics and Measurement Technology, IFM Linkoping University SE-581 83 Linkoping Sweden

要約

The stationary one-dimensional tight-binding Schredinger equation with a weak diagonal long-range correlated disorder in the potential is studied. An algorithm for constructing the discrete binary on-site potential exhibiting a hybrid spectrum with three different spectral components (absolutely continues, singular continues and point) ordered in any predefined manner in the region of energy and/or wave number is presented. A new approach to generating a binary sequence with the long-range memory based on a concept of additive Markov chains is used.


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