A. Effect of broadening and k/q-grid Figure shows that our implemented broadening scheme results in Na RPA total energies that are stable with respect to both MP1 broadening width and k/qgrid. We note that for each set of points along the x-axis in the left subplot, the same k/q-grid was used for the DFT calculation, E EXX x calculation, and RPA calculation. These results are in excellent agreement with similar calculations in literature. The left subplot shows that although the Na E corr and E EXX x energy terms converge in opposite directions with respect to k/q-grid, when added together as RPA total energies this dependence largely cancels such that the total RPA energy is much more stable than either of its constituent quantities. The solid vs. dashed lines show that this behavior is similar for two different broadening widths. Similarly, the right subplot shows that different MP1 broadening widths do not significantly change the convergence behavior of the bulk Na RPA total energy from the DFT total energy. Finally, we note similar behavior for bulk Pt (Figure ). Overall, these results indicate that using a k/q-grid equivalent to a 12×12×12 k/q-grid for these bulk metals with primitive unit cells and 0.2 eV MP1 broadening width will yield reliable RPA total energies for metallic systems and use these settings for all results in this work. , Ecorr, and FRP A. Energies shown as solid (dashed) lines were calculated using an MP1 broadening width of 0.2 (0.8) eV. All energies are shown relative to their value using a k/q-grid of 14×14×14. For each set of points along the x-axis, the same k/q-grid was used for the DFT calculation, E EXX x calculation, and RPA calculation. (Right) Change in Na FDF T and FRP A as a function of the MP1 broadening with used. All energies are shown relative to their value value an MP1 broadening with of 0.02 eV and were calculated using a 12×12×12 k/q-grid.