diff --git a/Response_Letter/Response_Letter.tex b/Response_Letter/Response_Letter.tex index 4447a1f..ef9e347 100644 --- a/Response_Letter/Response_Letter.tex +++ b/Response_Letter/Response_Letter.tex @@ -37,7 +37,24 @@ We look forward to hearing from you. \item {They should comment about what is needed (or even if it is possible) to develop a weight-dependent universal xc functional for eDFT calculations instead of application-specific functionals as presented in this paper.} \\ - \alert{bla bla bla} + \alert{This is a good point. For clarity, we complemented the +theory section as follows.\\ +{\it +``As shown in Sec. IV A 4, the weight dependence of the correlation +energy can be extracted from a FUEG model. In order to make the +resulting weight-dependent correlation functional truly universal, i.e. +independent on the number of electrons in the FUEG, one could use the +curvature of the Fermi hole [88] as an additional variable in the +density-functional approximation. The development of such a generalized +cor- relation eLDA is left for future work. Even though a similar +strategy could be applied to the weight-dependent exchange part, we +explore in the present work a different path where the +(system-dependent) exchange functional parameterization relies on the +ensemble energy linearity constraint (see Sec. IV A 2). Finally, let us +stress that, in order to further improve the description of the ensemble +correlation energy, a post-treatment of the recently revealed +density-driven correlations [62,92-94] (which, by construction, are absent from FUEGs) might be necessary. An orbital-dependent correction derived in Ref. 92 might be used for that purpose. Work is currently in progress in this direction. +''}} \item {In the captions of Figures 1 and 2 replace "functional's" with "functionals'"}