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

Andris Gulans, Martti Puska, Risto M. Nieminen

Research output: Contribution to journalArticleScientificpeer-review

140 Citations (Scopus)
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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.
Original languageEnglish
Article number201105
Pages (from-to)1-4
Number of pages4
JournalPhysical Review B
Issue number20
Publication statusPublished - 13 May 2009
MoE publication typeA1 Journal article-refereed


  • binding energy
  • bonds (chemical)
  • density functional theory
  • organic compounds,


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