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A weakening of superconductivity upon substitution of Cu by Zn (0.5~1 %) isobserved in a high-T_c cuprate, Ca_{2-x}Na_xCuO2Cl2, near the holeconcentration of 1/8 per Cu. The superconducting transition temperature and itsvolume fraction, estimated by magnetic susceptibility, exhibit a sizableanomaly for x=0.12~0.14, where the slowing down of Cu spin fluctuations below 5K is demonstrated by muon spin relaxation experiments. These observations arein close resemblance to other typical cuprates including YBa2Cu3O_{7-d}, andBi2Sr2Ca_{1-x}Y_xCu2O_{8+d}, providing further evidence that Zn-induced"stripe" correlation is a universal feature of high-T_c cuprate superconductorscommon to that of La_{2-x}A_{x}CuO4 (A=Ba, Sr).

Effect of Zn substitution for Cu on Ca$_{2-x}$Na$_{x}$CuO$_{2}$Cl$_{2}$ near the hole concentration of 1/8 per Cu