Localization of non-interacting electrons in thin layered disordered systems
Disordered Systems and Neural Networks
2007-05-23 v1 Mesoscale and Nanoscale Physics
Abstract
Localization of electronic states in disordered thin layered systems with b layers is studied within the Anderson model of localization using the transfer-matrix method and finite-size scaling of the inverse of the smallest Lyapunov exponent. The results support the one-parameter scaling hypothesis for disorder strengths W studied and b=1,...,6. The obtained results for the localization length are in good agreement with both the analytical results of the self-consistent theory of localization and the numerical scaling studies of the two-dimensional Anderson model. The localization length near the band center grows exponentially with b for fixed W but no localization-delocalization transition takes place.
Cite
@article{arxiv.cond-mat/0412531,
title = {Localization of non-interacting electrons in thin layered disordered systems},
author = {V. Z. Cerovski and R. K. Brojen Singh and M. Schreiber},
journal= {arXiv preprint arXiv:cond-mat/0412531},
year = {2007}
}
Comments
6 pages, 5 figures