Strong Superconductivity with Local Jahn-Teller Phonons in [Formula presented] Solids

We analyze fulleride superconductivity at experimental doping levels, treating the electron-electron and electron-phonon interactions on an equal footing, and demonstrate that the Jahn-Teller phonons create a local (intramolecular) pairing which is surprisingly resistant to the Coulomb repulsion, despite the weakness of retardation in these low-bandwidth systems. The requirement for coherence throughout the solid then yields a very strong doping dependence to [Formula presented], one consistent with experiment and much stronger than expected from standard Eliashberg theory.