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

Details Weak localization for the alloy-type Anderson model on a cubic lattice Weak localization for the alloy-type Anderson model on a cubic lattice

2011-07-31

arxiv.org/abs/1108.0196v1

J. Math. Phys. 53, 032201 (2012)

Physics

Mathematical Physics

30 pages, 2 figures

Scientific paper

10.1063/1.3690045

We consider alloy type random Schr\"odinger 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
$E \le -C \lambda^2$.

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