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The superconducting properties of two beta-pyrochlore oxides, CsOs2O6 andRbOs2O6, are studied by thermodynamic and transport measurements usinghigh-quality single crystals. It is shown that the character ofsuperconductivity changes systematically from weak coupling for CsOs2O6 tomoderately strong coupling for RbOs2O6, and finally to extremely strongcoupling with BCS-type superconductivity for KOs2O6, with increasing Tc.Strong-coupling correction analyses of the superconducting properties revealthat a low-energy rattling mode of the alkali metal ions is responsible for themechanism of the superconductivity in each compound. The large enhancement ofTc from Cs to K is attributed to the increase in the electron-rattler couplingwith decreasing characteristic energy of the rattling and with increasinganharmonicity. The existence of weak anisotropy in the superconducting gap orin the electron-rattler interactions is found for the Cs and Rb compounds.

Rattling-Induced Superconductiviy in the Beta-Pyrochlore Oxides AOs2O6