Short?range correlation energy of the relativistic homogeneous electron gas

We construct the complementary short-range correlation relativistic local-density-approximation functional to be used in range-separated density-functional theory based on a Dirac-Coulomb Hamiltonian no-pair approximation. For this, we perform random-phase-approximation calculations of energy homogeneous electron gas with modified electron-electron interaction, study high-density behavior, and fit results parametrized expression. The obtained should eventually useful for electronic-structure strongly correlated systems containing heavy elements.