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Two ordering states, antiferromagnetism and nematicity, have been observed inmost iron-based superconductors (SCs). In contrast to those SCs, the newlydiscovered SC CaK(Fe$_{1-x}$Ni$_x$)$_4$As$_4$ exhibits an antiferromagnetic(AFM) state, called hedgehog spin-vortex crystal structure, without nematicorder, providing the opportunity for the investigation into the relationshipbetween spin fluctuations and SC without any effects of nematic fluctuations.Our $^{75}$As nuclear magnetic resonance studies onCaK(Fe$_{1-x}$Ni$_x$)$_4$As$_4$ (0$\le x\le$ 0.049) revealed thatCaKFe$_4$As$_4$ is located close to a hidden hedgehog SVC AFM quantum-criticalpoint (QCP). The magnetic QCP without nematicity inCaK(Fe$_{1-x}$Ni$_x$)$_4$As$_4$ highlights the close connection of spinfluctuations and superconductivity in iron-based SCs. The advantage ofstoichiometric composition also makes CaKFe$_4$As$_4$ an ideal platform forfurther detailed investigation of the relationship between magnetic QCP andsuperconductivity in iron-based SCs without disorder effects.

Hedgehog Spin-vortex Crystal Antiferromagnetic Quantum Criticality in CaK(Fe1-xNix)4As4 Revealed by NMR