Three types of spectra in one-dimensional systems with random correlated binary potential

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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.
6 pages, 4 figures

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Disordered Systems and Neural Networks, Materials Science

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http://salesiana.dossiersoluciones.com/handle/123456789/101637

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0507332
 http://arxiv.org/abs/cond-mat/0507332

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arXiv