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Non-periodic density functional perturbation theory calculations with finite elements

Year: 2026
Type: article
Abstract: Density functional perturbation theory (DFPT) provides a systematic framework to compute higher-order material behavior based on a ground-state Kohn-Sham density functional theory solution. In this study, Kohn-Sham DFPT is formulated for the first time within the real-space variational framework of the finite element method towards interatomic force constants. The formulation is carried out in a pseudopotential setting for non-periodic systems with the generalized-gradient approximation for the exchange-correlation functional, including nonlinear core correction. The validation process is conducted through comparisons with conventional codes and finite difference schemes applied to perturbed ground-state calculations. For the interatomic force constants, it is demonstrated that one obtains convergence rates which parallel the optimal rates for energy and the observed rates for force.
Institution: Bilkent University
Language: English
Open Access status: hybrid
Estimated APC paid: $3,990
OpenAlex ID: W7225778258
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Cites: 68
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