Critical Behavior near the Mott Transition in the Hubbard Model

We introduce a systematic approach to analyze the low-energy behavior of strongly correlated electron systems in infinite dimensions, and apply it to the metal-insulator transition in the half-filled Hubbard model. We determine the low-energy scaling functions of the metallic state, including the single-particle Green function and dynamical spin susceptibility, as well as thermodynamic properties. Comparisons are made with experimental data on transition metal oxides.