  We point out that the effective channel for the interfacial thermal
conductance, the inverse of Kapitza resistance, of
metal-insulator/semiconductor interfaces is governed by the electron-phonon
interaction mediated by the surface states allowed in a thin region near the
interface. Our detailed calculations demonstrate that the interfacial thermal
conductance across Pb/Pt/Al/Au-diamond interfaces are only slightly different
among these metals, and reproduce well the experimental results of the
interfacial thermal conductance across metal-diamond interfaces observed by
Stoner et al. [Phys. Rev. Lett. 68, 1563 (1992)] and most recently by Hohensee
et al. [Nature Commun. 6, 6578 (2015)].
