  We study non-linear adiabatic connection paths in density-functional theory
using modified electron-electron interactions that perform a
long-range/short-range separation of the Coulomb interaction. These adiabatic
connections allows to define short-range exchange-correlation potentials and
short-range local exchange-correlation energies per particle that we have
calculated accurately for the He and Be atoms and compared to the corresponding
quantities in the local density approximation (LDA). The results confirm that
the LDA better describes exchange-correlation potentials and local
exchange-correlation energies per particle when the range of the interaction is
reduced.
