Phys. Rev. B 49, 10181–10193 (1994)Mott-Hubbard transition in infinite dimensions. IIReceived 1 October 1993; published in the issue dated 15 April 1994 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. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.49.10181
DOI:
10.1103/PhysRevB.49.10181
PACS:
71.30.+h, 72.15.-v, 75.30.Kz
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