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To distinguish between the effects of strain and magnetism on thesuperconductivity in $c$-axisLa$_{2/3}$Ca$_{1/3}$MnO$_3$/YBa$_2$Cu$_3$O$_{7-\delta}$ (LCMO/YBCO)heterostructures, we study perovskite/YBCO/perovskite thin films using eitherferromagnetic LCMO or paramagnetic LaNiO$_3$ (LNO) as perovskite. For alattice-symmetry matched comparison, we also use orthorhombicPrBa$_2$Cu$_3$O$_{7-\delta}$ (PBCO) in place of the pseudocubic perovskites.Unlike PBCO/YBCO/PBCO, both LCMO/YBCO/LCMO and LNO/YBCO/LNO trilayers showstrong attenuation of the superconducting $T_c$ as YBCO layer thickness isreduced from 21.4 to 5.4 nm. Our results indicate that heteroepitaxial strain,rather than long-range proximity effect, is responsible for the long lengthscales of $T_c$ attenuation observed in $c$-axis LCMO/YBCO heterostructures.

Strain-driven attenuation of superconductivity in heteroepitaxial perovskite/YBCO/perovskite thin films