Dynamical vertex approximation - a step beyond dynamical mean field theory

Abstract

We develop a diagrammatic approach with local and nonlocal self-energy diagrams, constructed from the local irreducible vertex. This approach includes the local correlations of dynamical mean field theory and long-range correlations beyond. It allows for example to describe (para-)magnons and weak localization effects in strongly correlated systems. As a first application, we study the interplay between nonlocal antiferromagnetic correlations and the strong local correlations emerging in the vicinity of a Mott-Hubbard transition.

4 pages, 3 figures

References in corpus (18)

• Quantum Cluster Theories
• Cellular Dynamical Mean Field Approach to Strongly Correlated Systems
• Nonlocal Dynamical Correlations of Strongly Interacting Electron Systems
• d-wave superconductivity and Pomeranchuk instability in the two-dimensional Hubbard model
• First principles approach to the electronic structure of strongly correlated systems: combining GW and DMFT
• Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
• Non-perturbative many-body approach to the Hubbard model and single-particle pseudogap
• Kosterlitz-Thouless Transition and Short Range Spatial Correlations in an Extended Hubbard Model
• Pseudogaps in Strongly Correlated Metals: A generalized dynamical mean-field theory approach
• Magnetic and superconducting instabilities of the Hubbard model at the van Hove filling
• The Superconducting Instabilities of the non half-filled Hubbard Model in Two Dimensions
• Influence of Spatial Correlations in Strongly Correlated Electron Systems: Extension to Dynamical Mean Field Approximation
• Renormalization group analysis of magnetic and superconducting instabilities near van Hove band fillings
• Stability of self-consistent solutions for the Hubbard model at intermediate and strong coupling
• "Destruction" of the fermi surface due to pseudogap fluctuations in strongly correlated systems
• Parquet approach to nonlocal vertex functions and electrical conductivity of disordered electrons
• Dynamical Cluster Approximation Employing FLEX as a Cluster Solver
• A Unified Theory of Dynamical Mean Field and Spin Fluctuations

Cited by in corpus (302)

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