Abstract

The electron-doped ${\mathit{L}}_{2\mathrm{\ensuremath{-}}\mathit{x}}$${\mathrm{Ce}}_{\mathit{x}}$${\mathrm{CuO}}_{4}$ (L=lanthanide) superconductors have intergrowth structures in which ${\mathrm{CuO}}_{2}$ sheets alternate with (L,Ce${)}_{2}$${\mathrm{O}}_{2}$ fluorite layers along the c axis. Stabilization of such intergrowth structures requires bond-length matching between Cu-O and (L,Ce)-O bonds. Any bond-length mismatch will result in the buildup of compressive or tensile stresses in the Cu-O and (L,Ce)-O bonds. The consequences of such internal stresses in ${\mathit{L}}_{2\mathrm{\ensuremath{-}}\mathit{x}}$${\mathrm{Ce}}_{\mathit{x}}$${\mathrm{CuO}}_{4}$ are investigated by a systematic variation through ${\mathit{L}}^{3+}$ size of the lattice parameter a. A decrease in the degree of bond-length mismatch or internal stresses with decreasing ${\mathit{L}}^{3+}$ size causes a systematic decrease in the Ce solubility limit and in the ease with which oxygen vacancies can be created. The concentration of oxygen vacancies decreases---or the oxygen content increases---with decreasing ${\mathit{L}}^{3+}$ size for a given ${\mathrm{N}}_{2}$-annealing temperature and Ce content; it also decreases with increasing Ce content for a given ${\mathit{L}}^{3+}$ ion. The decreasing oxygen-vacancy concentration with decreasing size of ${\mathit{L}}^{3+}$ causes an apparent increase in the critical Ce concentration ${\mathit{x}}_{\mathit{c}}$ required to induce the antiferromagnetic semiconductor to superconductor transition as the size of ${\mathit{L}}^{3+}$ decreases, although the transition seems to occur at a fixed critical electron concentration ${\mathit{n}}_{\mathit{c}}$=0.175\ifmmode\pm\else\textpm\fi{}0.005 irrespective of the ${\mathit{L}}^{3+}$ size.

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