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Pierre-Francois Loos 2023-03-10 11:43:24 +01:00
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Manuscript/SRGGW.tex
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@ -918,8 +918,8 @@ The present manuscript applies the similarity renormalization group (SRG) to the
The problems caused by intruder states in many-body perturbation theory are numerous but here we focus on the convergence issues caused by them. The problems caused by intruder states in many-body perturbation theory are numerous but here we focus on the convergence issues caused by them.
SRG's central equation is the flow equation, which is usually solved numerically but can be solved analytically for low perturbation order. SRG's central equation is the flow equation, which is usually solved numerically but can be solved analytically for low perturbation order.
Applying this approach in the $GW$ context yields analytical renormalized expressions for the Fock matrix elements and the screened two-electron integrals. Applying this approach in the $GW$ context yields closed-form renormalized expressions for the Fock matrix elements and the screened two-electron integrals.
These renormalized quantities lead to a renormalized $GW$ quasiparticle equation, referred to as SRG-$GW$, which is the main result of this work. These renormalized quantities lead to a regularized $GW$ quasiparticle equation, referred to as SRG-$GW$, which is the main result of this work.
By isolating the static component of SRG-$GW$, we obtain an alternative Hermitian and intruder-state-free self-energy that can be used in the context of qs$GW$ calculations. By isolating the static component of SRG-$GW$, we obtain an alternative Hermitian and intruder-state-free self-energy that can be used in the context of qs$GW$ calculations.
This new variant is called SRG-qs$GW$. This new variant is called SRG-qs$GW$.