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We report on the magnetic phase diagram of a hole-doped cuprateCa$_{2-x}$Na$_{x}$CuO$_{2}$Cl$_{2}$, which is free from buckling of CuO$_2$planes, determined by muon spin rotation and relaxation. It is characterized bya quasi-static spin glass-like phase over a range of sodium concentration($0.05\leq x\leq 0.12$), which is held between long range antiferromagnetic(AF) phase ($x\leq 0.02$) and superconducting phase where the system isnon-magnetic for $x\geq 0.15$. The obtained phase diagram qualitatively agreeswell with that commonly found for hole-doped high-\tc cuprates, stronglysuggesting that the incomplete suppression of the AF order for $x>0.02$ is anessential feature of the hole-doped cuprates.Comment: 5 pages, submitted to Phys. Rev. Let

Magnetic Phase Diagram of Hole-Doped Ca2-xNaxCuO2Cl2Cuprate Superconductor

Magnetic Phase Diagram of Hole-Doped Ca_2-xNa_xCuO₂Cl₂Cuprate Superconductor