Conductance Distribution in Superlocalization Regime

Autor: Andrzej Kolek, A. W. Stadler, Grzegorz Hałdaś
Rok vydání: 2002
Předmět:
Zdroj: physica status solidi (b). 230:253-257
ISSN: 1521-3951
0370-1972
Popis: The phenomenon of superlocalization has been studied by means of numerical simulations performed on two-dimensional percolation cluster at the threshold site concentration p = p c = 0.593. It is shown that superlocalization takes place also for the states inside the band. In this case the averaged logarithm of conductance scales with the size of percolation cluster L as (In g) ∼ -L do with localization exponent d o ≅ 1.14. The distribution of In g arises from the multiplication of two random variables, namely the chemical length l and inverse localization length y. The distribution of y is Gaussian with size independent average and variance which scales like var γ ∼ -1 . The distribution of l has a long tail towards large l. Its average and variance scale like ∼ L do and var l ∼ . There is a small correlation between l and y, which decreases as L do/2 as the size of the percolation cluster increases.
Databáze: OpenAIRE
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