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Coexistence of a new-type antiferromagnetic (AFM) state, the so-calledhedgehog spin-vortex crystal (SVC), and superconductivity (SC) is evidenced by$^{75}$As nuclear magnetic resonance study on single-crystallineCaK(Fe$_{0.951}$Ni$_{0.049}$)$_4$As$_4$. The hedgehog SVC order is clearlydemonstrated by the direct observation of the internal magnetic induction alongthe $c$ axis at the As1 site (close to K) and a zero net internal magneticinduction at the As2 site (close to Ca) below an AFM ordering temperature$T_{\rm N}$ $\sim$ 52 K. The nuclear spin-lattice relaxation rate 1/$T_1$ showsa distinct decrease below $T_{\rm c}$ $\sim$ 10 K, providing also unambiguousevidence for the microscopic coexistence. Furthermore, based on the analysis ofthe 1/$T_1$ data, the hedgehog SVC-type spin correlations are found to beenhanced below $T$ $\sim$ 150 K in the paramagnetic state. These resultsindicate the hedgehog SVC-type spin correlations play an important role for theappearance of SC in the new magnetic superconductor.

NMR Study of the New Magnetic Superconductor CaK(Fe$0.951Ni0.049)4As4: Microscopic Coexistence of Hedgehog Spin-vortex Crystal and Superconductivity