Localization for random Schrödinger operators with low density potentials.
Localization for random Schrödinger operators with low density potentials.
We prove that, for a density of disorder $\rho$ small enough, a certain class of discrete random Schr\odinger operators on $\Z^d$ with diluted potentials exhibits a Lifschitz behaviour from the bottom of the spectrum up to energies at a distance of the order $\rho^\alpha$ from the bottom of the spectrum, …