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Although superconductivity in the vicinity of antiferromagnetic (AFM)instability has been extensively explored in the last three decades or so,superconductivity in compounds with a background of ferromagnetic (FM) spinfluctuations is still rare. We report 75As nuclear quadrupole resonancemeasurements on the A2Cr3As3 family, which is the first group of Cr-basedsuperconductors at ambient pressure, with A being alkali elements. From thetemperature dependence of the spin-lattice relaxation rate (1/T1), we find thatby changing A in the order of A=Na, Na0.75K0.25, K, and Rb, the system is tunedto approach a FM quantum critical point (QCP). This may be ascribed to theCr2-As2-Cr2 bond angle that decreases towards 90 degrees, which enhances the FMinteraction via the Cr2-As2-Cr2 path. Upon moving away from the QCP, thesuperconducting transition temperature Tsc increases progressively up to 8.0 Kin Na2Cr3As3, which is in sharp contrast to the AFM case where Tsc usuallyshows a maximum around a QCP. The 1/T1 decreases rapidly below Tsc with noHebel-Slichter peak, and ubiquitously follows a T5 variation below acharacteristic temperature T*=0.6 Tsc, which indicates the existence of pointnodes in the superconducting gap function commonly in the family. These resultssuggest that the A2Cr3As3 family is a possible solid-state analog of superfluid3He.

Tuning the distance to a possible ferromagnetic quantum critical point in A2Cr3As3