Abstract
We study the localization length λ and fractal dimensionalityD of wave functions in disordered one-dimensional systems. We extend previous studies to consider the role of the off-diagonal disorder in the problem. Our results show that off-diagonal disorder introduces qualitatively different behaviour of λ andD from that of purely diagonal disorder. As a more realistic physical description of electronic properties in amorphous materials has to include the off-diagonal disorder as well, these features are of physical interest.
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In the following we will be concerned only with the fractal dimensionD obtained by fitting a straight line for small values ofL(L≪λ). Other possible values ofD could be considered, as suggested in Fig. (8b), which appear for relatively large values ofW T .This problem requires a more detailed study
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Roman, E., Wiecko, C. Localization length and fractal dimension of wave functions in one-dimensional disordered systems. Z. Physik B - Condensed Matter 62, 163–170 (1986). https://doi.org/10.1007/BF01323426
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DOI: https://doi.org/10.1007/BF01323426