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

O. V. Usatenko; S. S. Melnik; V. A. Yampol'skii; M. Johansson; L. Kroon; R. Riklund

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

O. V. Usatenko·S. S. Melnik·V. A. Yampol'skii·M. Johansson·L. Kroon·R. Riklund

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Abstract

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.

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O. V. Usatenko, S. S. Melnik, V. A. Yampol'skii, M. Johansson, L. Kroon, R. Riklund. 2006-04-10. Three types of spectra in one-dimensional systems with random correlated binary potential. https://arxiv.org/abs/cond-mat/0507332

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