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- W4297786019 abstract "It is shown that the Anderson transition (AT) in 3d obeys a two-parameter scaling law, derived from a pair of anisotropic scaling transformations, and corresponding critical exponents and scaling function calculated, using a high-precision numerical finite-size scaling study of the smallest Lyapunov exponent of quasi-1d systems of rectangular cross-section of L times l atoms in the limit of infinite L and l < L, for x=l/L ranging from 1/30 to 1/4. The second parameter is x, and there are two singularities: apart from the two-parameter scaling describing AT for x>0, corrections to scaling due to the irrelevant scaling field diverge when x->0, and the corresponding crossover length scale is also estimated. Furthermore, results suggest that the signatures of the AT in 3d should be present also in 2d strongly localized regime." @default.
- W4297786019 created "2022-10-01" @default.
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- W4297786019 date "2007-03-03" @default.
- W4297786019 modified "2023-09-26" @default.
- W4297786019 title "Two-Parameter Scaling Law of the Anderson Transition" @default.
- W4297786019 doi "https://doi.org/10.48550/arxiv.cond-mat/0703090" @default.
- W4297786019 hasPublicationYear "2007" @default.
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