S. Massidda et al., HARTREE-FOCK LAPW APPROACH TO THE ELECTRONIC-PROPERTIES OF PERIODIC-SYSTEMS, Physical review. B, Condensed matter, 48(8), 1993, pp. 5058-5068
We present a scheme for calculating the (spin-unrestricted) Hartree-Fo
ck (HF) band structure of periodic solids that uses the accurate linea
rized-augmented-plane-wave basis set. In contrast with linear-combinat
ion-of-atomic-orbitals-like schemes, the convergence of the variationa
l HF results can be easily monitored, and the cumbersome evaluation of
multicenter integrals is avoided. Potentials and charge densities are
evaluated without any shape approximation, and the singularity due to
the long-range nature of the Coulomb potential is handled in reciproc
al space. All the elements of the Periodic Table can be equally treate
d, and the relativistic effects for heavy elements are included as in
the standard local-density-approximation case. The method is tested on
silicon and diamond, where recent HF calculations are available for c
omparison. The diagonal Coulomb-hole-plus-screened-exchange approximat
ion can also be implemented with little additional computational effor
t.