Electronic structure of $A_4{\mathrm{C}}_{60}:$ Joint effect of electron correlation and vibronic interactions

Effects of electron correlation, intrasite vibronic interaction, and merohedral disorder on the electronic structure of ${\mathrm{K}}_4{\mathrm{C}}_{60}$ are investigated with a model approach taking into account all essential interactions in the lowest unoccupied molecular orbital (LUMO) band. The self-energy was calculated within the GW approximation with self-consistency after the quasiparticle Green function starting from Hartree-Fock band structure. The insulating state arises due to interorbital charge disproportionation within the LUMO band while the band gap is strongly reduced by effects of long-range electron correlation. The results of the calculations are in reasonable agreement with experiment, providing evidence for a Jahn-Teller induced transition from a Mott-Hubbard to a band insulator state.