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The critical doping levels in cuprates, where the ground state changes itsnature (from an antiferromagnet to a spin glass to superconductor to metal),are not universal. We investigate the origin of these critical dopingvariations by measuring the in-plane oxygen $p_{\sigma}$ hole density in theCuO$_{2}$ layers as a function of the oxygen density $y$ in (Ca$_{x}$La$_{1-x}$)(Ba$_{1.75-x}$La$_{0.25+x}$)Cu$_{3}$O$_{y}$. This is done using theoxygen 17 nuclear quadrupole resonance parameter $\nu_{Q}$. We comparecompounds with $x=0.1$ and 0.4 which have significant critical $y$ variationsand find that these variations can be explained by a change in the efficiencyof hole injection into the $p_{\sigma}$ orbital. This allows us to generate aunified phase diagram for the CLBLCO system across the entire doping range,with no adjustable parameters.

physical review. b, condensed matter and materials physics

Critical-doping universality for cuprate superconductors: Oxygen  nuclear-magnetic-resonance investigation of  Ca(x)La(1-x)Ba(1.75-x)La(0.25+x)Cu(3)O(y)