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The radio frequency penetration depth was measured in the superconductor(Ba$_{0.55}$K$_{0.45}$)Fe$_{2}$As$_{2}$ under pulsed magnetic fields extendingto 60 tesla and down to 14 K. Using these data we are able to infer a$H_{c2}(T)$, $H-T$ phase diagram, for applied fields parallel and perpendicularto the crystallographic c-axis. The upper critical field curvature is differentfor the respective orientations but they each remain positive down to 14 K. Theupper critical field anisotropy is moderate, $\approx 3.5$ close to $T_c$, anddrops with the decrease of temperature, reaching $\approx 1.2$ at $14 K$. Thesedata and analysis indicate that (i) (Ba$_{0.55}$K$_{0.45}$)Fe$_{2}$As$_{2}$anisotropy diminishes with temperature and has an unusual temperaturedependence, (ii) $H_{c2} (T=0)$ for this compound may easily approach fields of75 tesla.

Determination of anisotropic Hc2 up to 60 T in (Ba0.55K0.45)Fe2As2 single crystals