Evaluation of CuO 2 plane hole doping in YBa 2 Cu 3 O 6 + x single crystals

By R. Liang, D. Bonn, W. Hardy. 2005

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The electron hole concentration $p$ in the ${\mathrm{CuO}}_{2}$ planes of ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{6+x}$ (YBCO) has been evaluated using the unit cell length in the $c$ direction together with a simple estimation for $p$ in the chain oxygen-ordered phases. The empirical relationship between $p$ and $c$ obtained allows the calculation of $p$ from the $c$-axis lattice parameter for the entire doping range of YBCO. It is also suggested that the empirical parabola describing the relationship between ${T}_{c}$ and $p$ in ${\mathrm{La}}_{2\ensuremath{-}x}{\mathrm{Sr}}_{x}{\mathrm{CuO}}_{4}$ is reasonably correct for YBCO except for the region around $p=1∕8\phantom{\rule{0.3em}{0ex}}(x=0.67)$, where the ${T}_{c}$ of YBCO is suppressed by as much as $17\phantom{\rule{0.3em}{0ex}}\mathrm{K}$. A plot of $p$ vs $x$ and a correction of the parabola for the $p=1∕8$ effect are presented, allowing convenient determination of $p$ from $x$ and ${T}_{c}$.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Condensed Matter Physics

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