The random rotation model with a nonlocal interaction potential. An optimal result on Anderson localization

We prove spectral and strong dynamical localization in a periodic lattice of arbitrary dimension, with the disorder generated solely by randomly rotated asymmetric site potentials of infinite range. These results are proved under the optimal assumption of summable power-law decay of the sign-indefinite site potentials. Earlier results usually assumed the disorder to be generated either by random amplitudes, or by random local displacements of the site potentials, and often required these potentials to be sign-definite.