The weak localization for the alloy-type Anderson model on a cubic lattice

preprint2012arXivOpen access

Abstract

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 λλ is small, for the energies E≤−Cλ2E \le -C λ^2.

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