1995/10/17 by Antoine Georges, A. Georges, G. Kotliar +8
Mathematics · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum and electron transport phenomena #Rare-earth and actinide compounds #Spectral Theory in Mathematical Physics #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9510091
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arxiv created 1995/10/17 · openalex publication_date 1995/10/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We review the dynamical mean-field theory of strongly correlated fermion systems which is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition. This mapping is exact in the limit of large lattice coordination (or infinite spatial dimensions). This method can be used for the determination of phase diagrams and the calculation of thermodynamic properties, one-particle Green's functions, and response functions, using analytic and numerical techniques which are described. We review the recent progress in understanding the Hubbard model and the Mott metal-insulator transition within this approach, including some comparison to experiments on three-dimensional transition-metal oxides. Some applications of this method to other models are also reviewed. The present limitations of the approach, and possible extensions of the formalism are finally discussed. Computer programs for the numerical implementation of this method are provided with this article.