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arXiv 2013-05-30 DOI 10.1007/s11005-014-0729-7 0 views

How large is large? Estimating the critical disorder for the Anderson model

Schenker, Jeffrey

Original · EN

Complete localization is shown to hold for the d-dimensional Anderson model with uniformly distributed random potentials provided the disorder strength λ>λAnd where λAnd satisfies λAnd=μd e λAnd with μd the self-avoiding walk connective constant for the lattice Zᵈ. Notably λAnd is precisely the large disorder threshold proposed by Anderson in 1958.

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