“…The splittings were found to be k-and energy-dependent and to reach large values for graphene, although being significantly smaller than the measured ones, shown in figures 3(a) and (b). As it is shown in Supplementary Note VI, the maximal splitting reaches ∼30 meV for the π state along the ΓK direction at k x = −0.14 Å differences between the two systems are: (i) graphene is n-or p-doped on Pb/Ir(1 1 1) or Ir(1 1 1), being the DP at about −250 meV or +150 meV, respectively, in agreement with available ARPES data [25,50,51], and (ii) overall, graphene π bands are better defined in gr/ Pb/Ir(1 1 1) as compared to gr/Ir (1 1 1), in the sense that their linear dispersion is better maintained. A stronger hybridization between graphene and Ir (1 1 1) is evident, as compared to Pb/Ir (1 1 1), simply by looking at the multiple hybridization gaps that appear in the eV energy range below the DP.…”