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Three types of spectra in one-dimensional systems with random correlated binary potential
National Academy of Sciences of Ukraine.
National Academy of Sciences of Ukraine.
National Academy of Sciences of Ukraine.
Linköping University, Department of Physics, Chemistry and Biology. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-6708-1560
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2007 (English)In: Telecommunications and Radio Engineering, ISSN 0040-2508, Vol. 66, no 4, p. 353-362Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2007. Vol. 66, no 4, p. 353-362
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Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-41737DOI: 10.1615/TelecomRadEng.v66.i4Local ID: 58944OAI: oai:DiVA.org:liu-41737DiVA, id: diva2:262592
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2014-01-13

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Johansson, MagnusKroon, LarsRiklund, Rolf

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