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We report a high-pressure 75As NMR study on the heavily hole-doped ironpnictide superconductor KFe2As2 (Tc~3.8 K). The low-energy spin fluctuationsare found to decrease with applied pressure up to 2 GPa, but then increaseagain, changing in lockstep with the pressure-induced evolution of Tc. Theirdiverging nature suggests close proximity to a magnetic quantum critical pointat a negative pressure of P~-0.6 GPa. Above 2.4 GPa, the 75As satellite spectrasplit below 40 K, indicating a breaking of As site symmetry and an incipientcharge order. These pressure-controlled phenomena demonstrate the presence ofnearly-critical fluctuations in both spin and charge, providing essential inputfor the origin of superconductivity.

Nearly-critical spin and charge fluctuations in KFe2As2 observed by high-pressure NMR