Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-07-11
Prog. Theor. Phys. Suppl. 176, 117 (2008)
Physics
Condensed Matter
Strongly Correlated Electrons
An elementary introduction to dynamical vertex approximation given at the YKIS 2007 conference in Kyoto, Japan. 17 pages, 14 f
Scientific paper
We give an elementary introduction to a recent diagrammatic extension of dynamical mean field theory (DMFT) coined dynamical vertex approximation (D$\Gamma$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$\Gamma$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.
Held Karsten
Katanin Andrey A.
Toschi Alessandro
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