Abstract
Density functional perturbation theory (DFPT) with ultrasoft pseudopotentials (US-PPs) is extended to the projector augmented wave (PAW) method. I show that minor modifications of the existing DFPT codes for US-PPs are sufficient for dealing with PAW. A few applications to small molecules (CO, ${\text{H}}_{2}\text{O}$) and to ferromagnetic Fe in the body-centered cubic structure validate the theory.
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