We construct range-separated double-hybrid schemes which combine
coupled-cluster or random-phase approximations with a density functional based
on a two-parameter Coulomb-attenuating-method-like decomposition of the
electron-electron interaction. We find that the addition of a fraction of
short-range electron-electron interaction in the wave-function part of the
calculation is globally beneficial for the range-separated double-hybrid scheme
involving a variant of the random-phase approximation with exchange terms. Even
though the latter scheme is globally as accurate as the corresponding scheme
employing only second-order M{{\o}}ller-Plesset perturbation theory for
atomization energies, reaction barrier heights, and weak intermolecular
interactions of small molecules, it is more accurate for the more complicated
case of the benzene dimer in the stacked configuration. The present
range-separated double-hybrid scheme employing a random-phase approximation
thus represents a new member in the family of double hybrids with minimal
empiricism which could be useful for general chemical applications.Comment: arXiv admin note: text overlap with arXiv:1804.0337