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The iron-based superconductor Ba$_{1-x}$K$_x$Fe$_\text{2}$As$_\text{2}$ isemerging as a key material for high magnetic field applications owing to therecent developments in superconducting wires and bulk permanent magnets.Epitaxial thin films play important roles in investigating and artificiallytuning physical properties; nevertheless, the synthesis ofBa$_{1-x}$K$_x$Fe$_2$As$_2$ epitaxial thin films remained challenging becauseof the high volatility of K. Herein, we report the successful growth ofepitaxial Ba$_{1-x}$K$_x$Fe$_\text{2}$As$_\text{2}$ thin films bymolecular-beam epitaxy with employing a combination of fluoride substrates(CaF$_\text{2}$, SrF$_\text{2}$, and BaF$_\text{2}$) and a low growthtemperature (350$-$420$^\circ$C). Our epitaxial thin film grown onCaF$_\text{2}$ showed sharp superconducting transition at an onset criticaltemperature of 36 K, slightly lower than bulk crystals by ~2 K due presumablyto the strain effect arising from the lattice and thermal expansion mismatch.Critical current density ($J$$_\text{c}$) determined by the magnetizationhysteresis loop is as high as 2.2 MA/cm$^\text{2}$ at 4 K under self-field.In-field $J$$_\text{c}$ characteristics of the film are superior to the bulkcrystals. The realization of epitaxial thin films opens opportunities fortuning superconducting properties by epitaxial strain and revealing intrinsicgrain boundary transport of Ba$_{1-x}$K$_x$Fe$_\text{2}$As$_\text{2}$.

Realization of epitaxial thin films of the superconductor K-doped BaFe$_\text{2}$As$_\text{2}$