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A novel picture of the quasiparticle (QP) gap in prototype semiconductors Siand Ge emerges from an analysis based on all-electron, self-consistent, GWcalculations. The deep-core electrons are shown to play a key role via theexchange diagram --if this effect is neglected, Si becomes a semimetal.Contrary to current lore, the Ge 3d semicore states (e.g., their polarization)have no impact on the GW gap. Self-consistency improves the calculated gaps --afirst clear-cut success story for the Baym-Kadanoff method in the study ofreal-materials spectroscopy; it also has a significant impact on the QPlifetimes. Our results embody a new paradigm for ab initio QP theory

Band-Gap Problem in Semiconductors Revisited: Effects of Core States and Many-Body Self-Consistency