Anderson–Bernoulli Localization at Large Disorder on the 2D Lattice

We consider the Anderson model at large disorder on $${\mathbb {Z}}^2$$ where potential has a symmetric Bernoulli distribution. prove that localization happens outside small neighborhood of finitely many energies. These energies are Dirichlet eigenvalues minus Laplacian restricted some finite subsets {Z}}^{2}$$ .