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

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

2007-01-14

arxiv.org/abs/cond-mat/0701306v1

Phys. Rev. B 75, 113101 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.75.113101

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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