Analytical realization of finite-size scaling for Anderson localization. Does the band of critical states exist for d>2?

Details Analytical realization of finite-size scaling for Anderson localization. Does the band of critical states exist for d>2? Analytical realization of finite-size scaling for Anderson localization. Does the band of critical states exist for d>2?

2005-12-29

arxiv.org/abs/cond-mat/0512708v2

Zh.Eksp.Teor.Fiz. 129, 1064 (2006) [JETP 102, 938 (2006)]

Physics

Condensed Matter

Disordered Systems and Neural Networks

PDF, 11 pages

Scientific paper

10.1134/S1063776106060070

An analytical realization is suggested for the finite-size scaling algorithm based on the consideration of auxiliary quasi-1D systems. Comparison of the obtained analytical results with the results of numerical calculations indicates that the Anderson transition point is splitted into the band of critical states. This conclusion is supported by direct numerical evidence (Edwards and Thouless, 1972; Last and Thouless, 1974; Schreiber, 1985; 1990). The possibility of restoring the conventional picture still exists but requires a radical reinterpretetion of the raw numerical data.

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