Dynamical vertex approximation -- an introduction

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dc.creatorHeld, K.
dc.creatorKatanin, A. A.
dc.creatorToschi, A.
dc.date2008-07-11
dc.date.accessioned2026-07-07T12:53:01Z
dc.date.available2026-07-07T12:53:01Z
dc.descriptionWe give an elementary introduction to a recent diagrammatic extension of dynamical mean field theory (DMFT) coined dynamical vertex approximation (D$Γ$A). This approach contains the important local correlations of DMFT, giving, among others, rise to quasiparticle renormalizations, Mott-Hubbard transitions and magnetism, but also non-local correlations beyond. The latter are at the very essence of many physical phenomena in strongly correlated elecectron systems. As correlations are treated equally on all length scales, D$Γ$A allows us to describe physical phenomena such as magnons, quantum criticality, and the interplay between antiferromagnetism and superconductivity. We review results hitherto obtained for the Hubbard model in dimensions d=3, 2, and 1.
dc.descriptionAn elementary introduction to dynamical vertex approximation given at the YKIS 2007 conference in Kyoto, Japan. 17 pages, 14 figures in 19 eps files
dc.identifierhttps://arxiv.org/abs/0807.1860
dc.identifierhttp://arxiv.org/abs/0807.1860
dc.identifierProg. Theor. Phys. Suppl. 176, 117 (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223482
dc.subjectStrongly Correlated Electrons
dc.subjectMaterials Science
dc.titleDynamical vertex approximation -- an introduction
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