Physics – Condensed Matter – Superconductivity
Scientific paper
2008-11-24
Physics
Condensed Matter
Superconductivity
Accepted by International of Modern Physics B (13pages, 2eps figure)
Scientific paper
The numerical calculations of the standard Eliashberg-Nambu strong coupling theory and a formula of isotope effect derived in this paper provide direct evidences that an-harmonic vibrations of lattice enhance isotope effect with anomalous coefficient $\alpha>1/2$. The results in this paper explain very well the wide distributed $\alpha$ values for the samples with different ratios of substitutions of $^{12}$C by $^{13}$C of fulleride superconductor Rb$_{3}$C$_{60}$. The calculations of isotope effects indicate that the intra-molecule radial modes have more important contributions to superconductivity than the intra-molecule tangential modes with higher phonon frequencies
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