Dm. Bylander et L. Kleinman, ELIMINATION OF LOCAL-SPIN-DENSITY-APPROXIMATION ERRORS FROM ELECTRONIC-STRUCTURE CALCULATIONS OF GD, Physical review. B, Condensed matter, 50(3), 1994, pp. 1363-1368
All previous electronic-structure calculations of Gd have obtained a d
ensity of states N(E(F)) much larger than the experimental value. By c
omparing Hartree-Fock with local-spin-density-approximation (LSDA) ato
mic calculations we previously concluded that the minority-spin 4f res
onance just above E(F) in the metal, which is responsible for the enha
nced N(E(F)), is an artifact of the LSDA. We present here a calculatio
n for the Gd crystal in which the conduction electrons experience a Ha
rtree-Fock potential due to the core electrons and a LSDA potential du
e to themselves. The resonance is gone, N(E(F)) is less than the exper
imental value (many-body effects will increase it), and the lattice co
nstants are in near-perfect agreement with experiment.