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

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 o...

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Bibliographic Details
Published inarXiv.org
Main Author Cerovski, Viktor Z
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 14.01.2007
Subjects
Computer simulation
Critical point
Hopping (motion)
Mathematical models
Order parameters
Three dimensional models
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0701306