Koopmans-Compliant Self-Interaction Corrections

Nicolas Poilvert, Giovanni Borghi, Ngoc Linh Nguyen, Nathan Daniel Keilbart, Kevin Wang, Ismaila Dabo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

Self-interaction is a central problem for the accuracy of density-functional approximations in describing the electronic structure of atoms and molecules. In this work, we discuss the different types of self-interaction errors commonly encountered in density-functional calculations, providing precise definitions for each of them. Based upon these definitions, we derive an orbital-dependent density-functional method, called the Koopmans-compliant approach, which simultaneously corrects the different self-interaction errors, by enforcing piecewise linearity with respect to fractional particle counts and by imposing the correct asymptotic behavior of the one-electron potential in approximate energy functionals. We illustrate the very good performance of this new method in predicting the electronic properties of atoms and molecules, while preserving or improving the prediction of total energies and equilibrium geometries. These results highlight the accuracy and efficiency of Koopmans-compliant functionals as an attractive solution to the self-interaction problem.

Original languageEnglish (US)
Title of host publicationAdvances In Atomic, Molecular, and Optical Physics, 2015
EditorsChun C. Lin, Ennio Arimondo, Susanne F. Yelin
PublisherAcademic Press Inc.
Pages105-127
Number of pages23
ISBN (Print)9780128021279
DOIs
StatePublished - Jan 1 2015

Publication series

NameAdvances in Atomic, Molecular and Optical Physics
Volume64
ISSN (Print)1049-250X

Fingerprint

Atoms
Molecules
functionals
Electronic properties
Electronic structure
Density functional theory
interactions
Geometry
Electrons
preserving
linearity
atoms
molecules
electronic structure
orbitals
energy
geometry
predictions
approximation
electronics

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Poilvert, N., Borghi, G., Nguyen, N. L., Keilbart, N. D., Wang, K., & Dabo, I. (2015). Koopmans-Compliant Self-Interaction Corrections. In C. C. Lin, E. Arimondo, & S. F. Yelin (Eds.), Advances In Atomic, Molecular, and Optical Physics, 2015 (pp. 105-127). (Advances in Atomic, Molecular and Optical Physics; Vol. 64). Academic Press Inc.. https://doi.org/10.1016/bs.aamop.2015.06.008
Poilvert, Nicolas ; Borghi, Giovanni ; Nguyen, Ngoc Linh ; Keilbart, Nathan Daniel ; Wang, Kevin ; Dabo, Ismaila. / Koopmans-Compliant Self-Interaction Corrections. Advances In Atomic, Molecular, and Optical Physics, 2015. editor / Chun C. Lin ; Ennio Arimondo ; Susanne F. Yelin. Academic Press Inc., 2015. pp. 105-127 (Advances in Atomic, Molecular and Optical Physics).
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Poilvert, N, Borghi, G, Nguyen, NL, Keilbart, ND, Wang, K & Dabo, I 2015, Koopmans-Compliant Self-Interaction Corrections. in CC Lin, E Arimondo & SF Yelin (eds), Advances In Atomic, Molecular, and Optical Physics, 2015. Advances in Atomic, Molecular and Optical Physics, vol. 64, Academic Press Inc., pp. 105-127. https://doi.org/10.1016/bs.aamop.2015.06.008

Koopmans-Compliant Self-Interaction Corrections. / Poilvert, Nicolas; Borghi, Giovanni; Nguyen, Ngoc Linh; Keilbart, Nathan Daniel; Wang, Kevin; Dabo, Ismaila.

Advances In Atomic, Molecular, and Optical Physics, 2015. ed. / Chun C. Lin; Ennio Arimondo; Susanne F. Yelin. Academic Press Inc., 2015. p. 105-127 (Advances in Atomic, Molecular and Optical Physics; Vol. 64).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Poilvert N, Borghi G, Nguyen NL, Keilbart ND, Wang K, Dabo I. Koopmans-Compliant Self-Interaction Corrections. In Lin CC, Arimondo E, Yelin SF, editors, Advances In Atomic, Molecular, and Optical Physics, 2015. Academic Press Inc. 2015. p. 105-127. (Advances in Atomic, Molecular and Optical Physics). https://doi.org/10.1016/bs.aamop.2015.06.008