Ab initio calculations with the dynamical vertex approximation
A. Toschi, G. Rohringer, A. A. Katanin, and K. Held

TL;DR
This paper introduces a new ab initio computational method for strongly correlated materials that incorporates local vertex corrections, GW, DMFT, and non-local correlations with manageable computational effort.
Contribution
It combines GW, DMFT, and vertex corrections into a unified ab initio approach for strongly correlated materials.
Findings
Successfully includes local and non-local correlations
Estimates computational effort as manageable
Provides a comprehensive framework for correlated materials
Abstract
We propose an approach for the ab initio calculation of materials with strong electronic correlations which is based on all local (fully irreducible) vertex corrections beyond the bare Coulomb interaction. It includes the so-called GW and dynamical mean field theory and important non-local correlations beyond, with a computational effort estimated to be still manageable.
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