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Abstract
The density-functional theory total energy within the projector-augmented wave formalism is expressed in a form suitable for application of the variation-perturbation formalism. We derive the corresponding expressions up to the third order. The much deeper complexity of the projector-augmented wave formalism, compared to the norm-conserving pseudopotential case, implies the introduction of several new notations. However, the structure of the resulting formalism is quite similar, and should be as useful, accurate, and widely applicable.
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