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We report a comprehensive study of the noncentrosymmetric superconductorMo$_3$P. Its bulk superconductivity, with $T_c = 5.5$ K, was characterized viaelectrical resistivity, magnetization, and heat-capacity measurements, whileits microscopic electronic properties were investigated by means of muon-spinrotation/relaxation ($\mu$SR) and nuclear magnetic resonance (NMR) techniques.In the normal state, NMR relaxation data indicate an almost ideal metallicbehavior, confirmed by band-structure calculations, which suggest a relativelyhigh electron density of states, dominated by the Mo $4d$-orbitals. Thelow-temperature superfluid density, determined via transverse-field $\mu$SR andelectronic specific heat, suggest a fully-gapped superconducting state inMo$_3$P, with $\Delta_0= 0.83$ meV, the same as the BCS gap value in theweak-coupling case, and a zero-temperature magnetic penetration depth$\lambda_0 = 126$ nm. The absence of spontaneous magnetic fields below theonset of superconductivity, as determined from zero-field $\mu$SR measurements,indicates a preserved time-reversal symmetry in the superconducting state ofMo$_3$P and, hence, spin-singlet pairing.

Nodeless superconductivity and preserved time-reversal symmetry in the noncentrosymmetric Mo3P superconductor