We present a solution of the Hubbard model at half filling in the limit of infinite dimensions which corresponds to the Mott-Hubbard insulating phase. We describe the metal-insulator transition between this regime and the Fermi-liquid regime. Our analysis is based on an analytic consideration and exact Monte Carlo simulations at low but finite temperatures.

Physical Review LettersAug 24, 1992231 citations

arXiv:cond-mat/0303085 · The European Physical Journal B

Analytical and numerical treatment of the Mott-Hubbard insulator in infinite dimensions

Michael P. Eastwood, Florian Gebhard, Eva Kalinowski, Satoshi Nishimoto, R. M. Noack

Published Sep 1, 2003• 19 citations

arXiv HTML PDF

DOI: 10.1140/epjb/e2003-00266-4

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{\mathit{U}}_{\mathit{c}}

{\mathit{t}}_{\mathrm{*}}

and a sharp Lorentzian peak appearing at midgap at U

{\mathit{U}}_{\mathit{c}}

. For the N\'eel state, however, the system becomes an insulator for U>0. We also obtain the specific heat and entropy for both the metallic and insulating regimes. Our analytic work reproduces the key results obtained by numerical method in infinite dimensions.