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Boundary hopping and the mobility edge in the Anderson model in three dimensions | | Viktor Z. Cerovski
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14 Jan 2007 | | Subject: | Mesoscopic Systems and Quantum Hall Effect; 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. | | Source: | arXiv, cond-mat/0701306 | | Services: | Forum | Review | PDF | Favorites | |
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