Improvement on the GW$\Gamma$ Scheme for the Electron Self-Energy and Relevance of the $G_0W_0$ Approximation from this Perspective

Based on an exact functional form derived for the three-point vertex function $Γ$ , we propose a self-consistent calculation scheme for the electron self-energy with $Γ$ always satisfying the Ward identity. This scheme is basically equivalent to the one proposed in 2001, but it is improved in the aspects of computational costs and its applicability range; it can treat a low-density electron system with a dielectric catastrophe. If it is applied to semiconductors and insulators, we find that the obtained quasiparticle dispersion is virtually the same as that in the one-shot $G W$ approximation (or $G_{0} W_{0}$ A), indicating that the $G_{0} W_{0}$ A actually takes proper account of both vertex and high-order self-energy corrections in a mutually cancelling manner.

Improvement on the GW $Γ$ Scheme for the Electron Self-Energy and Relevance of the $G_{0} W_{0}$ Approximation from this Perspective

文献摘要

讨论

讲解博客

AI智能校验

Improvement on the GW $Γ$ Scheme for the Electron Self-Energy and Relevance of the $G_{0} W_{0}$ Approximation from this Perspective

文献摘要

讨论

讲解博客

AI智能校验

Improvement on the GWΓΓ Scheme for the Electron Self-Energy and Relevance of the G0W0G0​W0​ Approximation from this Perspective

文献摘要

讨论

|讲解博客

|AI智能校验

Improvement on the GWΓΓ Scheme for the Electron Self-Energy and Relevance of the G0W0G0​W0​ Approximation from this Perspective

文献摘要

讨论

|讲解博客

|AI智能校验

Improvement on the GW $Γ$ Scheme for the Electron Self-Energy and Relevance of the $G_{0} W_{0}$ Approximation from this Perspective

讲解博客

AI智能校验

Improvement on the GW $Γ$ Scheme for the Electron Self-Energy and Relevance of the $G_{0} W_{0}$ Approximation from this Perspective

讲解博客

AI智能校验