The ab initio self-interaction-corrected (SIC) local-spin-density (LSD) app
roximation is discussed With emphasis on the ability to describe localized
f-electron states in rare earth solids. Two methods for minimizing the SIC-
LSD total energy functional are discussed, one using a unified Hamiltonian
for all electron states, thus having the advantages of Bloch's theorem, the
other one employing an iterative scheme in real space. Results for cerium
and cerium compounds as well as other rare earths are presented. For the ce
rium compounds the onset off-electron delocalization can be accurately desc
ribed, including the intricate isostructural phase transitions in elemental
cerium and CeP. In Pr and Sm the equilibrium lattice constant and zero tem
perature equation of state is greatly improved in comparison with the LSD r
esults. (C) 2000 John Wiley & Sons, Inc.