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The suppression of superconductivity by nonmagnetic disorder is investigatedsystematically in the organic superconductor$\kappa$-(BEDT-TTF)$_2$Cu(NCS)$_2$. We introduce a nonmagnetic disorder arisingfrom molecule substitution in part with deuterated BEDT-TTF or BMDT-TTF forBEDT-TTF molecules and molecular defects introduced by X-ray irradiation. Aquantitative evaluation of the scattering time $\tau_{\rm dHvA}$ is carried outby de Haas-van Alphen (dHvA) effect measurement. A large reduction in $T_{\rmc}$ with a linear dependence on $1/\tau_{\rm dHvA}$ is found in thesmall-disorder region below $1/\tau_{\rm dHvA} \simeq$ 1 $\times$ 10$^{12}$s$^{-1}$ in both the BMDT-TTF molecule-substituted and X-ray-irradiatedsamples. The observed linear relation between $T_{\rm c}$ and $1/\tau_{\rmdHvA}$ is in agreement with the Abrikosov-Gorkov (AG) formula, at least in thesmall-disorder region. This observation is reasonably consistent with theunconventional superconductivity proposed thus far for the present organicsuperconductor. A deviation from the AG formula, however, is observed in thelarge-disorder region above $1/\tau_{\rm dHvA} \simeq$ 1 $\times$ 10$^{12}$s$^{-1}$, which reproduces the previous transport study (J. G. Analytis {\it etal.}: Phys. Rev. Lett. {\bf 96} (2006) 177002). We present some interpretationsof this deviation from the viewpoints of superconductivity and the inherentdifficulties in the evaluation of scattering time.

Suppression of superconductivity by non-magnetic disorder in organic superconductor $\kappa$-(BEDT-TTF)$_{2}$Cu(NCS)$_{2}$