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Several theoretical studies have been performed to reveal the mechanism of the metal-insulator transition (MIT) in 3d transition-metal oxides including strongly correlated high-Tc superconductors]. Mott first introduced the concept of the Mott MIT of the first order (called ”Mott transition”), which is caused by a strong on-site Coulomb repulsion U [1], Hubbard[2] made a model which explained the splitting between the lower and upper Hubbard bands resulting in increased U, which is indicative of an insulator and second-order MIT. However, Hubbard’s model has not clarified the single-particle spectral function ρ(ω) characterizing physical properties, particularly on the metallic side of the Mott transition.

Extended Brinkman-Rice Picture and its Application to High-T C Superconductors