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We fabricate high-quality c-axis oriented epitaxial YBa$_2$Cu$_3$O$_{7-x}$films with 15% of yttrium atoms replaced by terbium (YTBCO) and study theirelectrical properties. The Tb substitution reduces the charge carrier densityresulting in increased resistivity and decreased critical current densitycompared to the pure YBa$_2$Cu$_3$O$_{7-x}$ films. The electrical properties ofthe YTBCO films show an in-plane anisotropy in both the superconducting andnormal state providing evidence for the twin-free film. Unexpectedly, theresistive transition of the bridges also demonstrates the in-plane anisotropythat can be explained within the framework of Tinkham's model of the resistivetransition and the Berezinskii-Kosterlitz-Thouless (BKT) model depending on thesample parameters. We consider YTBCO films to be a promising platform for boththe fundamental research on the BKT transition in the cuprate superconductorsand for the fabrication of devices with high kinetic inductance.

In-plane anisotropy of electrical transport in Y$_{0.85}$Tb$_{0.15}$Ba$_2$Cu$_3$O$_{7-x}$ films