Linear-scaling self-consistent implementation of the van der Waals density functional

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© 2009 American Physical Society (APS). This is the accepted version of the following article: Gulans, Andris & Puska, Martti J. & Nieminen, Risto M. 2009. Linear-scaling self-consistent implementation of the van der Waals density functional. Physical Review B. Volume 79, Issue 20. 201105/1-4. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.79.201105, which has been published in final form at http://journals.aps.org/prb/abstract/10.1103/PhysRevB.79.201105.
Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2009
Major/Subject
Mcode
Degree programme
Language
en
Pages
201105/1-4
Series
Physical Review B, Volume 79, Issue 20
Abstract
An efficient linear-scaling approach to the van der Waals density functional in electronic-structure calculations is demonstrated. The nonlocal correlation potential needed in self-consistent calculations is derived in a practical form. This enables also an efficient determination of the Hellmann-Feynman forces on atoms. The numerical implementation employs adaptive quadrature grids in real space resulting in a fast and an accurate evaluation of the functional and the potential. The approach is incorporated in the atomic orbital code SIESTA. The application of the method to the S22 set of noncovalently bonded molecules and comparison with the quantum chemistry data reveal an overall agreement but show that different exchange functionals should be used for different types of bonds.
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Keywords
binding energy, chemical bonds, density functional theory, organic compounds
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Citation
Gulans, Andris & Puska, Martti J. & Nieminen, Risto M. 2009. Linear-scaling self-consistent implementation of the van der Waals density functional. Physical Review B. Volume 79, Issue 20. 201105/1-4. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.79.201105.