Abstract
AbstractThe metal–insulator transition (Mott transition) in the Hubbard model for a half‐filled narrow band is considered by means of the functional integral method. The functional integral is calculated in the static approximation. Higher‐order fluctuations in the exponent of the functional integral are neglected, and a self‐consistent approximation scheme analogous to the coherent potential approximation is used. An instability in the free energy leading to a first order transition is obtained. This instability corresponds to the instability studied by Lifshits in connection with the passing of an energy branch through the Fermi energy.
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