Pressure-induced unconventional superconductivity near a quantum critical point in CaFe₂As₂

⁷⁵As-zero-field nuclear magnetic resonance (NMR) and nuclear quadrupole resonance (NQR) measurements are performed on CaFe₂As ₂ under pressure. At P = 4.7 and 10.8kbar, the temperature dependencies of nuclear-spin-lattice relaxation rate (1/T₁) measured in the tetragonal phase show no coherence peak just below T_c(P) and decrease with decreasing temperature. The superconductivity is gapless at P = 4.7kbar but evolves to that with multiple gaps at P = 10.8kbar. We find that the superconductivity appears near a quantum critical point under pressures in the range 4.7kbar ≤ P ≤ 10.8kbar. Both electron correlation and superconductivity disappear in the collapsed tetragonal phase. A systematic study under pressure indicates that electron correlations play a vital role in forming Cooper pairs in this compound.