R. Yu et H. Krakauer, LINEAR-RESPONSE CALCULATIONS WITHIN THE LINEARIZED AUGMENTED PLANE-WAVE METHOD, Physical review. B, Condensed matter, 49(7), 1994, pp. 4467-4477
The linear-response approach to density-functional calculations in the
local-density approximation is more efficient than traditional superc
ell and dielectric matrix techniques for the calculation of physical p
roperties such as phonon frequencies. We have implemented this approac
h within the framework of the linearized augmented plane-wave method,
which should bring it to bear on systems containing transition-metal a
nd other elements that have localized orbitals. The formulation for th
is implementation is presented. The method is applied to the calculati
on of phonon spectra, Born effective charges, and dielectric constants
for semiconductors. Results for phonon spectra and Born effective cha
rges are in good agreement with experiment.