Three types of spectra in one-dimensional systems with random correlated binary potential
Disordered Systems and Neural Networks
2007-05-23 v3 Materials Science
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.
Cite
@article{arxiv.cond-mat/0507332,
title = {Three types of spectra in one-dimensional systems with random correlated binary potential},
author = {O. V. Usatenko and S. S. Melnik and V. A. Yampol'skii and M. Johansson and L. Kroon and R. Riklund},
journal= {arXiv preprint arXiv:cond-mat/0507332},
year = {2007}
}
Comments
6 pages, 4 figures