Physics – Condensed Matter – Superconductivity
Scientific paper
2011-07-08
Physics
Condensed Matter
Superconductivity
2 pages, 2 figures. Submitted to J. Phys. Soc. Jpn
Scientific paper
In order to clarify that the Cooper pair in $\beta$-pyrochlore oxides is mediated by anharmonic oscillation of guest atom, i.e., {\it rattling}, we propose an experiment to detect anomalous isotope effect. In the formula of $T_{\rm c} \propto M^{-\eta}$, where $T_{\rm c}$ is superconducting transition temperature and $M$ denotes mass of the oscillator, the exponent $\eta$ is found to increase with the increase of anharmonicity of a potential for the guest atom. We show that $\eta$ is larger than 1/2 in rattling-induced superconductor, in sharp contrast to $\eta=1/2$ for weak-coupling superconductivity due to harmonic phonons and $\eta<1/2$ for strong-coupling superconductivity with the inclusion of the effect of Coulomb repulsion.
Hotta Takashi
Oshiba Kunihiro
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