Self-consistent GW and higher-order calculations of electron states in metals

Past work, treating simple metals in the GW approximation, has largely neglected effects of self-consistency and higher-order vertex corrections on occupied bandwidths. This work presents self-consistent GW results, plus nearly self-consistent higher-order results, for jellium, illustrating that both effects are large, yet largely canceling (e.g., 0.65-eV effects on the sodium bandwidth, but a combined effect of only 0.13 eV). This supports findings that many-body effects substantially reduce such bandwidths