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\documentclass[10pt]{letter}
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\documentclass[10pt]{letter}
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\usepackage{UPS_letterhead,xcolor,mhchem,mathpazo,ragged2e,hyperref}
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\usepackage{UPS_letterhead,xcolor,mhchem,ragged2e,hyperref}
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\newcommand{\alert}[1]{\textcolor{red}{#1}}
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\newcommand{\alert}[1]{\textcolor{red}{#1}}
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\definecolor{darkgreen}{HTML}{009900}
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\definecolor{darkgreen}{HTML}{009900}
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@ -57,12 +57,19 @@ I recommend this manuscript for publication after the minor points addressed:}
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\alert{We thank the reviewer for mentioning this interesting fact. We were not aware of this.
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\alert{We thank the reviewer for mentioning this interesting fact. We were not aware of this.
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Actually, this is already the case in SF-dBSE; the eigenvalues differences in the denominator of the second of Eq. 30 are $GW$ quasiparticle energies.
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Actually, this is already the case in SF-dBSE; the eigenvalues differences in the denominator of the second of Eq. 30 are $GW$ quasiparticle energies.
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The $GW$ superscripts were missing in the original manuscript and they have been added.
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The $GW$ superscripts were missing in the original manuscript and they have been added.
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We have performed SF-dBSE@$G_0W_0$ calculations replacing the $GW$ quasiparticle energies by the HF energies in the denominator of Eq. (30) but it does not seem to alter much the results in the case of Be.}
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We have performed SF-dBSE@$G_0W_0$ calculations replacing the $GW$ quasiparticle energies by the HF orbital energies in the denominator of Eq. (30) but it does not seem to alter much the results in the case of Be.}
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\item
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\item
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{Figure 2: Could the authors discuss the kink in G0W0/SF-BSE and G0W0/SF-dBSE (in supporting) appearing at around 1.2 Angstroms between $1\Sigma_g^+$ and $1\Sigma_u^+$. It is really puzzling. Is it due to the lack of self consistency in the G0W0 approximation? What does GW/SF-BSE gives in this case?}
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{Figure 2: Could the authors discuss the kink in G0W0/SF-BSE and G0W0/SF-dBSE (in supporting) appearing at around 1.2 Angstroms between $1\Sigma_g^+$ and $1\Sigma_u^+$. It is really puzzling. Is it due to the lack of self consistency in the G0W0 approximation? What does GW/SF-BSE gives in this case?}
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\\
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\\
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\alert{bla bla bla}
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\alert{The kink in the SF-BSE@$G_0W_0$ and SF-dBSE/$G_0W_0$ curves for \ce{H2} are due to the appearance of the symmetry-broken UHF solution.
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Indeed, $R = 1.2 \AA$ corresponds to the location of the well-known Coulson-Fischer point.
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Note that, as mentioned in our manuscript, all the calculations are performed with a UHF reference (even the ones based on a closed-shell singlet reference).
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Of course, if one relies solely on the RHF solution, this kink disappears. it would be, nonetheless, inconsistent with the rest of the paper.
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The appearance of this kink is now discussed in the revised version of the manuscript.
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At the ev$GW$ level, this kink would certainly still exist as one does not self-consistently optimised the orbitals in this case.
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However, it would likely disappear at the qs$GW$ level but it remains to be confirmed (work is currently being done in this direction).
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Unfortunately, it is extremely tedious to converge (partially) self-consistent $GW$ calculation with such large basis set (cc-pVQZ) for reasons discussed elsewhere [see, for example, V\'eril et al. JCTC 14, 5220 (2018)].}
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\end{itemize}
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\end{itemize}
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