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Localization of non-interacting electrons in thin layered disordered systems

V. Z. Cerovski·R. K. Brojen Singh·M. Schreiber
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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.

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V. Z. Cerovski, R. K. Brojen Singh, M. Schreiber. 2004-12-20. Localization of non-interacting electrons in thin layered disordered systems. https://doi.org/10.1088/0953-8984%2F18%2F31%2F010

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