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

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 $\lambda$ is small, for the energies $E\le -C{\lambda }^2$.

45 pages, 2 figures. To appear in J. Stat. Phys

References in corpus (1)

• Minimizing the ground state energy of an electron in a randomly deformed lattice

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