Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2005-07-14
Physics
Condensed Matter
Disordered Systems and Neural Networks
6 pages, 4 figures
Scientific paper
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 continuous, singular continuous 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 (Phys. Rev. E 68, 061107 (2003)) is used.
Johansson Markus
Kroon L.
Melnik Sergey
Riklund R.
Usatenko O. V.
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