The weak localization for the alloy-type Anderson model on a cubic   lattice
  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 $E \le -C \lambda^2$. 
Zhenwei Cao and Alexander Elgart
math-ph math.MP