  SrPt3P has recently been reported to exhibit superconductivity with Tc = 8.4
K. To explore its superconducting mechanism, we have performed electron and
phonon band calculations based on the density functional theory, and found that
the superconductivity in SrPt3P is well described by the strong coupling
phonon-mediated mechanism. We have demonstrated that superconducting charge
carriers come from pd\pi-hybridized bands between Pt and P ions, which couple
to low energy (~ 5 meV) phonon modes confined on the ab in-plane. These
in-plane phonon modes, which do not break antipolar nature of SrPt3P, enhance
both the electron-phonon coupling constant \lambda and the critical temperature
Tc. There is no hint of a specific phonon softening feature in the phonon
dispersion, and the effect of the spin-orbit coupling on the superconductivity
is found to be negligible.
