1108.0196 (Zhenwei Cao et al.)

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

Zhenwei Cao, Alexander Elgart

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 $E \le -C \lambda^2$.

View original: http://arxiv.org/abs/1108.0196