Localization of non-interacting electrons in thin layered disordered systems

Details Localization of non-interacting electrons in thin layered disordered systems Localization of non-interacting electrons in thin layered disordered systems

2004-12-20

arxiv.org/abs/cond-mat/0412531v1

J. Phys.: Condens. Matter 18 7155-7162 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 5 figures

Scientific paper

10.1088/0953-8984/18/31/010

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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