diff --git a/Manuscript/SRGGW.tex b/Manuscript/SRGGW.tex index 11a2540..1e20e66 100644 --- a/Manuscript/SRGGW.tex +++ b/Manuscript/SRGGW.tex @@ -74,12 +74,12 @@ \affiliation{\LCPQ} \begin{abstract} -The family of Green's function methods based on the $GW$ approximation has gained popularity in the electronic structure theory thanks to its accuracy in weakly correlated systems and its affordability. +The family of Green's function methods based on the $GW$ approximation has gained popularity in the electronic structure theory thanks to its accuracy in weakly correlated systems combined with its cost-effectiveness. Despite this, self-consistent versions still pose challenges in terms of convergence. A recent study \href{https://doi.org/10.1063/5.0089317}{[J. Chem. Phys. 156, 231101 (2022)]} has linked these convergence issues to the intruder-state problem. In this work, a perturbative analysis of the similarity renormalization group (SRG) approach is performed on Green's function methods. The resulting SRG-based regularized self-energy significantly accelerates the convergence of self-consistent $GW$ methods. -Furthermore, it enables us to derive, from first principles, the expression of a new naturally Hermitian form of the static self-energy that can be employed in quasiparticle self-consistent $GW$ (qs$GW$) calculations. +Furthermore, the SRG formalism enables us to derive, from first principles, the expression of a new naturally Hermitian form of the static self-energy that can be employed in quasiparticle self-consistent $GW$ (qs$GW$) calculations. %\bigskip %\begin{center} % \boxed{\includegraphics[width=0.5\linewidth]{TOC}}