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We report the 75As nuclear quadrupole resonance (NQR) and specific heatmeasurements of the heavily hole-doped superconductor KFe2As2 (Tc = 3.5 K). Thespin-lattice relaxation rate 1/T1 in the superconducting state exhibits quitegradual temperature dependence with no coherence peak below Tc. Thequasi-particle specific heat C_QP/T shows small specific heat jump which isabout 30% of electronic specific heat coefficient just below Tc. In addition,it suggests the existence of low-energy quasi-particle excitation at the lowestmeasurement temperature T = 0.4 K \simeq Tc/10. These temperature dependence of1/T1 and C_QP/T can be explained by multiple nodal superconducting gap scenariorather than multiple fully-gapped s_\pm-wave one within simple gap analysis.

Possible Multiple Gap Superconductivity with Line Nodes in Heavily Hole-Doped Superconductor KFe2As2 Studied by 75As-NQR and Specific Heat