Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory

@article{Rohringer2018DiagrammaticRT,
  title={Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory},
  author={Georg Rohringer and Hartmut Hafermann and Alessandro Toschi and Andrey A. Katanin and Andrey Antipov and Mikhail I. Katsnelson and Alexander I. Lichtenstein and A N Rubtsov and Karsten Held},
  journal={Reviews of Modern Physics},
  year={2018},
  volume={90},
  pages={025003}
}
Strong electronic correlations pose one of the biggest challenges to solid state theory. We review recently developed methods that address this problem by starting with the local, eminently important correlations of dynamical mean field theory (DMFT). On top of this, non-local correlations on all length scales are generated through Feynman diagrams, with a local two-particle vertex instead of the bare Coulomb interaction as a building block. With these diagrammatic extensions of DMFT long-range… 
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