The Weak Localization for the Alloy-Type Anderson Model on a Cubic Lattice

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作者
Zhenwei Cao
Alexander Elgart
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[1] Virginia Tech.,Department of Mathematics
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Anderson localization; Weak disorder; Feynman diagrams; Spectral analysis;
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摘要
We consider alloy type random Schrödinger operators on a cubic lattice whose randomness is generated by the sign-indefinite single-site potential. We derive Anderson localization for this class of models in the Lifshitz tails regime, i.e. when the coupling parameter λ is small, for the energies E≤−Cλ2.
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页码:1006 / 1039
页数:33
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