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