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The pressure dependence of the magnetic and superconducting transitions, aswell as that of the superconducting upper critical field is reported forCaK(Fe$_{1-x}$Ni$_{x}$)$_4$As$_4$, the first example of an Fe-basedsuperconductor with spin-vortex-crystal-type magnetic ordering. Resistancemeasurements were performed on single crystals with two substitution levels($x=0.033, 0.050$) under hydrostatic pressures up to 5.12 GPa and in magneticfields up to 9 T. Our results show that, for both compositions, magnetictransition temperatures, $T_\textrm{N}$, are suppressed upon applying pressure,the superconducting transition temperatures $T_\textrm{c}$ are suppressed bypressure as well, except for $x=0.050$ in the pressure region where$T_\textrm{N}$ and $T_\textrm{c}$ cross. Furthermore, the pressure associatedwith the crossing of the $T_\textrm{N}$ and $T_\textrm{c}$ lines also coincideswith a minimum in the normalized slope of the superconducting upper criticalfield, consistent with a likely Fermi-surface reconstruction associated withthe loss of magnetic ordering. Finally, at $p \sim$ 4 GPa, both Ni-substitutedCaK(Fe$_{1-x}$Ni$_{x}$)$_4$As$_4$ samples likely go through ahalf-collapsed-tetragonal (hcT) phase transition, similar to the parentcompound CaKFe$_4$As$_4$.

Pressure-temperature phase diagrams of CaK(Fe$_{1-x}$Ni$_{x}$)$_4$As$_4$ superconductors