Abstract

This work reports a detailed structural study by synchrotron x-ray diffraction of several sets of thick YBa${}_{2}$Cu${}_{3}$O${}_{7}$ layers. The samples represent recent advances in flux-pinning design, containing various concentrations of artificial pinning centers: (i) BaZrO${}_{3}$ nanorods, (ii) BaZrO${}_{3}$ nanoparticles, and (iii) Y${}_{2}$O${}_{3}$ nanoparticles. A statistical analysis was performed in order to separate the effects of defect-induced and intrinsic pinning. We report a statistically significant correlation between the orthorhombic distortion of the YBCO matrix and the pinning strength. Our result implies that the in-plane ordering of oxygen ions in the chain positions accounts for approximately 60$%$ of the pinning force. The strain-induced pinning mechanism analysis, based on the Eshelby model of elastically strained composites, predicts that small YBCO grain size is a critical component of a strong pinning architecture that can enable critical current density values approaching the depairing limit.

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