Abstract
A scheme is presented to include vertex corrections up to infinite order in the calculation of the superconducting transition temperature T c. The scheme is applied to the alkali-metal-doped fullerenes. By considering the contribution from both the carrier plasmons and the intramolecular high-frequency phonon modes with λ around 0.6, we can reproduce the experimentally-observed T c vs a relation quantitatively, where a is the fcc lattice constant. For the isotope exponent α, the present calculation gives values around 0.2.
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