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Pierre-Francois Loos 2019-10-24 22:39:34 +02:00
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\affiliation{\IUF}
\begin{abstract}
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Similar to other electron correlation methods, many-body perturbation theory methods based on Green functions, such as the so-called $GW$ approximation, suffer from the usual slow convergence of energetic properties with respect to the size of the one-electron basis set.
This displeasing feature is due to lack of explicit electron-electron terms modeling the infamous Kato electron-electron cusp and the correlation Coulomb hole around it.
Here, we propose a computationally efficient density-based basis set correction based on short-range correlation density functionals which significantly speeds up the convergence of energetics towards the complete basis set limit.
@ -554,9 +554,9 @@ Note, however, that the formal $\order*{\Nbas^6}$ cost of {\GW} can be significa
%%% FIG 1 %%%
\begin{figure*}
\includegraphics[width=0.45\linewidth]{IP_G0W0HF_H2O}
\includegraphics[width=0.45\linewidth]{fig1a}
\hspace{1cm}
\includegraphics[width=0.45\linewidth]{IP_G0W0PBE0_H2O}
\includegraphics[width=0.45\linewidth]{fig1b}
\caption{
IP (in eV) of the water molecule computed at the {\GOWO} (black circles), {\GOWO}+srLDA (red squares), and {\GOWO}+srPBE (blue diamonds) levels of theory with increasingly large Dunning's basis sets \cite{Dunning_1989} (cc-pVDZ, cc-pVTZ, cc-pVQZ, and cc-pV5Z) with two different starting points: HF (left) and PBE0 (right).
The thick black line represents the CBS value obtained by extrapolation (see text for more details).
@ -642,42 +642,9 @@ The CCSD(T)/def2-TZVPP and experimental results are reported for comparison purp
\fnt[5]{Experimental values are taken from Ref.~\onlinecite{vanSetten_2015} and correspond to vertical ionization energies.}
\end{table*}
%%% TABLE IV %%%
%\begin{table*}
%\caption{
%EAs (in eV) of the five canonical nucleobases computed at the {\GOWO}@PBE level of theory for various basis sets.
%The deviation with respect to the {\GOWO}@PBE/def2-TQZVP extrapolated values are reported in square brackets.
%The experimental results are reported for comparison purposes.
%\label{tab:DNA_EA}
%}
% \begin{ruledtabular}
% \begin{tabular}{llccccc}
% & & \mc{5}{c}{EAs of nucleobases (eV)} \\
% \cline{3-7}
% Method & Basis & \tabc{Adenine} & \tabc{Cytosine} & \tabc{Guanine} & \tabc{Thymine} & \tabc{Uracil} \\
% \hline
% {\GOWO}@PBE\fnm[1] & def2-SVP & -1.57 & -1.40 & -1.88 & -1.19 & -1.16 \\
% {\GOWO}@PBE+srLDA\fnm[1] & def2-SVP & -1.27 & -1.10 & -1.57 & -0.89 & -0.85 \\
% {\GOWO}@PBE+srPBE\fnm[1] & def2-SVP & -1.23 & -1.07 & -1.53 & -0.85 & -0.81 \\
% {\GOWO}@PBE\fnm[2] & def2-TZVP & -0.82 & -0.61 & -1.12 & -0.39 & -0.35 \\
% {\GOWO}@PBE+srLDA\fnm[1] & def2-TZVP & -0.66 & -0.45 & & -0.23 & -0.19 \\
% {\GOWO}@PBE+srPBE\fnm[1] & def2-TZVP & -0.66 & -0.46 & & -0.23 & -0.19 \\
% {\GOWO}@PBE\fnm[2] & def2-QZVP & -0.47 & -0.26 & -0.75 & -0.06 & -0.01 \\
% {\GOWO}@PBE\fnm[3] & def2-TQZVP & -0.17 & +0.03 & -0.41 & +0.21 & +0.28 \\
% \hline
% Experiment\fnm[5] & & 0.54 & & & 0.29 & 0.22 \\
% \end{tabular}
% \end{ruledtabular}
% \fnt[1]{This work.}
% \fnt[2]{Unpublished data taken from \url{https://gw100.wordpress.com} obtained with MOLGW 2.B.}
% \fnt[3]{Extrapolated values obtained from the def2-TZVP and def2-QZVP values.}
% \fnt[4]{Reference \onlinecite{Krause_2015}.}
% \fnt[5]{Experimental values are taken from Ref.~\onlinecite{vanSetten_2015} and correspond to laser photoelectron spectroscopy values.}
%\end{table*}
%%% FIG 2 %%%
\begin{figure*}
\includegraphics[width=\linewidth]{DNA_IP}
\includegraphics[width=\linewidth]{fig2}
\caption{
Error (in eV) with respect to the {\GOWO}@PBE/def2-TQZVP extrapolated values for the IPs of the five canonical nucleobases (adenine, cytosine, thymine, guanine, and uracil) computed at the {\GOWO}@PBE level of theory for various basis sets.
\label{fig:DNA_IP}

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