Improvement on the GW$\Gamma$ Scheme for the Electron Self-Energy and Relevance of the $G_0{W}_0$ Approximation from this Perspective

Soh Ishii, Hideaki Maebashi, Yasutami Takada

Based on an exact functional form derived for the three-point vertex function $\Gamma$, we propose a self-consistent calculation scheme for the electron self-energy with $\Gamma$ always sati…