Metal-insulator phase diagram of the half-filled Anderson-Hubbard model

The metal-insulator phase transition diagrams of the Anderson - Hubbard model at half filling with the box and the Gaussian disorder distributions are obtained via typical-medium theory within an approximation to the equation of motion. The equations determining the boundary between the correlated metal, Mott insulator, and Anderson localization phases are derived. Our results are in good agreement with those found by the more sophisticated methods and indicate that on a qualitative level they do not depend on the choice of the above disorder distributions.