Anderson localization on Falicov-Kimball model with   next-nearest-neighbor hopping and long-range correlated disorder
  The phase diagram of correlated, disordered electron systems is calculated within dynamical mean-field theory for the Anderson-Falicov-Kimball model with nearest-neighbors and next-nearest-neighbors hopping. The half-filled band is analyzed in terms of the chemical potential of the system using the geometric and arithmetic averages. We also introduce the on-site energies exhibiting a long-range correlated disorder, which generates a system with similar characteristics as the one created by a random independent variable distribution. A decrease in the correlated disorder reduces the extended phase. 
D. O. Maionchi, A. M. C. Souza, H. J. Herrmann, R. N. da Costa Filho