Local electronic correlation at the two-particle level

By G. Rohringer, Angelo Valli, Alessandro Toschi. Physical review B, 2012

137 citations recorded by the source corpus.

Electronic-correlated systems are often well described by dynamical mean field theory (DMFT). While DMFT studies have mainly focused hitherto on one-particle properties, valuable information is also enclosed into local two-particle Green's functions and vertices. They represent the main ingredient to compute momentum-dependent response functions at the DMFT level and to treat nonlocal spatial correlations at all length scales by means of diagrammatic extensions of DMFT. The aim of this paper is to present a DMFT analysis of the local reducible and irreducible two-particle vertex functions for the Hubbard model in the context of a unified diagrammatic formalism. An interpretation of the observed frequency structures is also given in terms of perturbation theory, of the comparison with the atomic limit, and of the mapping onto the attractive Hubbard model.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/f7ccd317c644d6dd0e6b14c5de6eb611f37fa20e

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

Citations in the corpus

Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model (2020, methodology): “[221] G.”
Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory (2017, methodology): “For an exhaustive discussion of the specific symmetry properties of Φ` and Γ`, see Rohringer, 2013 and Rohringer et al., 2012.”