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KFe2As2 is a heavily hole-doped iron pnictide superconductor, which has a low Tc (about 3.8 K) but with strong spin fluctuations.Under pressure, its Tc first decreases with pressure and increases again with pressure above 2 GPa.These peculiar behaviors draws intensive attentions to this compound, concerning the distinctive Fermi surface, the orbital properties, and pairing symmetry in the heavily hole-doped regime.