Correlated Lloyd model: Exact solution

We describe an exactly solvable model of a disordered system that is a generalized Lloyd model{;} it differs from the classical model because the random potential is not a $\delta$-correlated random process. We show that the exact average Green's function in this case is independent of the correlation radius of the random potential and, as in the classical Lloyd model, is a crystal Green's function whose energy argument acquires an imaginary part dependent on the disorder degree.