Linear-response calculations within the linearized augmented plane-wave method

The linear-response approach to density-functional calculations in the local-density approximation is more efficient than traditional supercell and dielectric matrix techniques for the calculation of physical properties such as phonon frequencies. We have implemented this approach within the framework of the linearized augmented plane-wave method, which should bring it to bear on systems containing transition-metal and other elements that have localized orbitals. The formulation for this implementation is presented. The method is applied to the calculation of phonon spectra, Born effective charges, and dielectric constants for semiconductors. Results for phonon spectra and Born effective charges are in good agreement with experiment.