Dynamical vertex approximation : A step beyond dynamical mean-field theory
By Alessandro Toschi, A. Katanin, K. Held. 2006
250 citations recorded by the source corpus.
Institute of Metal Physics, 620219 Ekaterinburg, Russia(Dated: Version 8, February 6, 2008)We develop a diagrammatic approach with local and nonlocal self-energy diagrams, constructedfrom the local irreducible vertex. This approach includes the local correlations of dynamical meanfield theory and long-range correlations beyond. It allows for example to describe (para-)magnonsand weak localization effects—in strongly correlated systems. As a first application, we study theinterplay between nonlocal antiferromagnetic correlations and the strong local correlations emergingin the vicinity of a Mott-Hubbard transition.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Electronic, Optical and Magnetic Materials
View Paper: https://www.semanticscholar.org/paper/676834e3a77c0d78300098cb48ac01a680fb5fe4
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In Atomic and Molecular Physics, and Optics
- A. Rubtsov
- A. Lichtenstein
- Philipp Werner
- Matthias Troyer
- Emanuel Gull
- A. Millis
- M. Katsnelson
- Hartmut Hafermann
In Condensed Matter Physics
- A. Rubtsov
- Philipp Werner
- A. Lichtenstein
- Hartmut Hafermann
- Matthias Troyer
- A. Millis
- Emanuel Gull
- M. Katsnelson
In Electronic, Optical and Magnetic Materials
- A. Rubtsov
- Philipp Werner
- A. Millis
- A. Lichtenstein
- K. Held
- Olivier Parcollet
- Alessandro Toschi
- A. Georges
Citations in the corpus
- Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory (2017, methodology): “The sums in the terms are weighted with a function that depends on the eigenvalues and the three external Matsubara frequencies, see the appendixes of Toschi et al., 2007 and Hafermann et al., 2009b.”
- Continuous-time Monte Carlo methods for quantum impurity models (2010, methodology): “Alternative ways to handle nonlocal correlations have been proposed (Kusunose, 2006; Rubtsov et al., 2008; Slezak et al., 2009; Toschi et al., 2007).”
- TRIQS: A toolbox for research on interacting quantum systems (2015, background): “array ([[1 ,2 ,3] ,[4 ,5 ,6]]) with HDFArchive("data.”
- Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model (2020, methodology): “[101] A.”