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)

Abstract

The critical doping levels in cuprates, where the ground state changes its nature (from an antiferromagnet to a spin glass to superconductor to metal), are not universal. We investigate the origin of these critical doping variations by measuring the in-plane oxygen $p_{\sigma }$ hole density in the CuO${}_2$ 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 the oxygen 17 nuclear quadrupole resonance parameter ${\nu }_Q$. We compare compounds with $x=0.1$ and 0.4 which have significant critical $y$ variations and find that these variations can be explained by a change in the efficiency of hole injection into the $p_{\sigma }$ orbital. This allows us to generate a unified phase diagram for the CLBLCO system across the entire doping range, with no adjustable parameters.

arXiv comment5 pages, 4 figures

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• Charge compensation and optimal stoichiometry in superconducting (Ca${}_x$La${}_{1-x}$)(Ba${}_{1.75-x}$La${}_{0.25+x}$)Cu${}_3$O${}_y$
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• Linking Dynamic and Thermodynamic Properties of Cuprates; an ARPES study of (CaLa)(BaLa)${}_2$Cu${}_3$O${}_y$
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