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Force balance approach for advanced approximations in density functional theories

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Tchenkoue Djouom,  M.-L.
International Max Planck Research School for Ultrafast Imaging & Structural Dynamics (IMPRS-UFAST), Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;

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1908.02733.pdf
(Preprint), 595KB

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Citation

Tchenkoue Djouom, M.-L., Penz, M., Theophilou, I., Ruggenthaler, M., & Rubio, A. (2019). Force balance approach for advanced approximations in density functional theories. The Journal of Chemical Physics, 151(15): 154107. doi:10.1063/1.5123608.


Cite as: http://hdl.handle.net/21.11116/0000-0004-DB9C-6
Abstract
We propose a systematic and constructive way to determine the exchange-correlation potentials of density-functional theories including vector potentials. The approach does not rely on energy or action functionals. Instead, it is based on equations of motion of current quantities (force balance equations) and is feasible both in the ground-state and the time-dependent settings. This avoids, besides differentiability and causality issues, the optimized-effective-potential procedure of orbital-dependent functionals. We provide straightforward exchange-type approximations for different density functional theories that for a homogeneous system and no external vector potential reduce to the exchange-only local-density and Slater Xα approximations.