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Pierre-Francois Loos 2019-10-23 13:57:26 +02:00
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Manuscript/GW-srDFT.tex
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@ -539,7 +539,7 @@ The {\GOWO} quasiparticle energies have been obtained ``graphically'', \textit{i
Moreover, the infinitesimal $\eta$ in Eq.~\eqref{eq:SigC} has been set to zero. Moreover, the infinitesimal $\eta$ in Eq.~\eqref{eq:SigC} has been set to zero.
Compared to the conventional $\order*{\Nbas^6}$ computational cost of {\GW} (where $\Nbas$ is the number of basis functions), the present basis set correction represents a marginal additional cost as further discussed in Refs.~\onlinecite{LooPraSceTouGin-JPCL-19, GinSceTouLoo-JCP-19}. Compared to the conventional $\order*{\Nbas^6}$ computational cost of {\GW} (where $\Nbas$ is the number of basis functions), the present basis set correction represents a marginal additional cost as further discussed in Refs.~\onlinecite{LooPraSceTouGin-JPCL-19, GinSceTouLoo-JCP-19}.
Note, however, that the formal $\order*{\Nbas^6}$ cost of {\GW} can be significantly decreased thanks to resolution-of-the-identity techniques \cite{vanSetten_2013, Bruneval_2016, Duchemin_2017} and other tricks. \cite{Rojas_1995, Duchemin_2019} Note, however, that the formal $\order*{\Nbas^6}$ cost of {\GW} can be significantly reduced thanks to resolution-of-the-identity techniques \cite{vanSetten_2013, Bruneval_2016, Duchemin_2017} and other tricks. \cite{Rojas_1995, Duchemin_2019}
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\begin{figure*} \begin{figure*}