Mott-Hubbard transition in infinite dimensions. II

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Abstract
We discuss the Mott-Hubbard transition in light of the Hubbard model in infinite dimensions with special emphasis on the finite-temperature aspects of the problem. We demonstrate that the Mott transition at finite temperatures has a first-order character. We determine the region where metallic and insulating solutions coexist using second-order perturbation theory and we draw the phase diagram of the Hubbard model at half filling with a semicircular density of states. We discuss the lessons learned from the present treatment of the Hubbard model and the connection to other approximation schemes and to experiments on transition-metal oxides.

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