The localization of eigenfunctions in finite samples of the 1D Anderson and Lloyd models is quantitatively described by the information length. This quantity is numerically investigated for both models and it is found to scale with the size of the sample and the disorder according to a simple law.
Scaling of the information length in 1D tight-binding models / G. Casati, I. Guarneri, F. Izrailev, S. Fishman, L.G. Molinari. - In: JOURNAL OF PHYSICS. CONDENSED MATTER. - ISSN 0953-8984. - 4:1(1992 Jan 06), pp. 024.149-024.156. [10.1088/0953-8984/4/1/024]
Scaling of the information length in 1D tight-binding models
L.G. MolinariUltimo
1992
Abstract
The localization of eigenfunctions in finite samples of the 1D Anderson and Lloyd models is quantitatively described by the information length. This quantity is numerically investigated for both models and it is found to scale with the size of the sample and the disorder according to a simple law.
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