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Boundary hopping and the mobility edge in the Anderson model in three dimensions

Viktor Z. Cerovski
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Abstract

It is shown, using high-precision numerical simulations, that the mobility edge of the 3d Anderson model depends on the boundary hopping term t in the infinite size limit. The critical exponent is independent of it. The renormalized localization length at the critical point is also found to depend on t but not on the distribution of on-site energies for box and Lorentzian distributions. Implications of results for the description of the transition in terms of a local order-parameter are discussed.

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Viktor Z. Cerovski. 2007-01-14. Boundary hopping and the mobility edge in the Anderson model in three dimensions. https://doi.org/10.1103/physrevb.75.113101

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