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A notable characteristic of PbTaSe$_2$, a prototypical noncentrosymmetric(NCS) superconductor, is that its superconductivity can be modulated through astructural transition under hydrostatic pressure [Phys. Rev. B 95, 224508(2017)]. Here we report on simultaneous pressure-sensitive point-contactAndreev reflection (PCAR) spectroscopy and bulk resistance measurements onPbTaSe$_2$, to elucidate the nature of the surface and bulk superconductivityand their evolution with hydrostatic pressure. It is found that in highpressure region the superconducting gap opening temperature $T_c^A$ issignificantly lower that the bulk resistive transition temperature $T_c^R$,revealing a clear experimental signature of surface-bulk separation associatedwith enhanced antisymmetric spin-orbit coupling (ASOC). The PCAR spectra,reflecting the superconducting surface state, are analyzed with theBlonder-Tinkham-Klapwijk theory, yielding an isotropic $s$-wave full BCS-gap inthe strong coupling regime. Analysis based on a modified McMillan formulaindicates a sizable coupling strength contributed from ASOC for thesuperconducting surface state. These results suggest the coexistence of fullgap $s$-wave superconductivity and topological surface states in PbTaSe$_2$,indicating that this NSC with significantly enhanced ASOC may offer a solidplatform to investigate the topological aspect in the superconductingcondensate.

Topological Surface Superconductivity Induced by Hydrostatic  Pressure-Enhanced Antisymmetric Spin-Orbit Coupling in Non-Centrosymmetric  Superconductor PbTaSe2