A strong effect of disorder on Mott transition:: Hubbard-Lloyd model

We include atomic disorder in correlated narrow-band systems by assuming that the atomic level position fluctuates according to the Lorentzian distribution. We use the Lloyd exact form of the averaged single-particle Green function when the electronic correlations are absent or treated in the saddle-point slave-boson (or Gutzwiller) approximation. The weak disorder reduces drastically the threshold for the Mott-Hubbard localization.