Dynamical vertex approximation: A step beyond dynamical mean-field theory

A. Toschi, A. A. Katanin, K. Held

Research output: Contribution to journalArticlepeer-review

277 Citations (Scopus)


We develop a diagrammatic approach with local and nonlocal self-energy diagrams, constructed from the local irreducible vertex. This approach includes the local correlations of dynamical mean-field theory and long-range correlations beyond. It allows us, for example, to describe (para)magnons and weak localization effects-in strongly correlated systems. As a first application, we study the interplay between nonlocal antiferromagnetic correlations and the strong local correlations emerging in the vicinity of a Mott-Hubbard transition.

Original languageEnglish
Article number045118
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number4
Publication statusPublished - 2007
Externally publishedYes


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