Boundary hopping and the mobility edge in the Anderson model in three dimensions
Mesoscale and Nanoscale Physics
2007-05-23 v1 Strongly Correlated Electrons
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.
Cite
@article{arxiv.cond-mat/0701306,
title = {Boundary hopping and the mobility edge in the Anderson model in three dimensions},
author = {Viktor Z. Cerovski},
journal= {arXiv preprint arXiv:cond-mat/0701306},
year = {2007}
}