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Pierre-Francois Loos 2019-10-24 22:39:34 +02:00
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\affiliation{\IUF} \affiliation{\IUF}
\begin{abstract} \begin{abstract}
%\begin{wrapfigure}[13]{o}[-1.25cm]{0.5\linewidth} \begin{wrapfigure}[15]{o}[-1.25cm]{0.5\linewidth}
% \centering \centering
% \includegraphics[width=\linewidth]{TOC} \includegraphics[width=\linewidth]{TOC}
%\end{wrapfigure} \end{wrapfigure}
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. 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. 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. 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 %%% %%% FIG 1 %%%
\begin{figure*} \begin{figure*}
\includegraphics[width=0.45\linewidth]{IP_G0W0HF_H2O} \includegraphics[width=0.45\linewidth]{fig1a}
\hspace{1cm} \hspace{1cm}
\includegraphics[width=0.45\linewidth]{IP_G0W0PBE0_H2O} \includegraphics[width=0.45\linewidth]{fig1b}
\caption{ \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). 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). 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.} \fnt[5]{Experimental values are taken from Ref.~\onlinecite{vanSetten_2015} and correspond to vertical ionization energies.}
\end{table*} \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 %%% %%% FIG 2 %%%
\begin{figure*} \begin{figure*}
\includegraphics[width=\linewidth]{DNA_IP} \includegraphics[width=\linewidth]{fig2}
\caption{ \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. 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} \label{fig:DNA_IP}

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