Effect of the nonlocal exchange on the performance of the orbital-dependent correlation functionals from second-order perturbation theory
J. Chem. Phys. 129, 124109 (2008); doi:10.1063/1.2978171
Published 25 September 2008
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Adding a fraction of the nonlocal exchange operator to the local orbital-dependent exchange potential improves the many-body perturbation expansion based on the Kohn–Sham determinant. The effect of such a hybrid scheme on the performance of the orbital-dependent correlation functional from the second-order perturbation theory (PT2H) is investigated numerically. A small fraction of the nonlocal exchange is often sufficient to ensure the existence of the self-consistent solution for the PT2H potential. In the He and Be atoms, including 37% of the nonlocal exchange leads to the correlation energies and electronic densities that are very close to the exact ones. In molecules, varying the fraction of the nonlocal exchange may result in the PT2H energy closely reproducing the CCSD(T) value; however such a fraction depends on the system and does not always result in an accurate electronic density. We also numerically verify that the “semicanonical” perturbation series includes most of the beneficial effects of the nonlocal exchange without sacrificing the locality of the exchange potential.
©2008 American Institute of Physics
| History: | Received 29 January 2008; accepted 13 August 2008; published 25 September 2008 |
| Permalink: |
http://link.aip.org/link/?JCPSA6/129/124109/1 |
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0021-9606 (print)
1089-7690 (online)
REFERENCES (37)
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- P. Hohenberg and W. Kohn,
Phys. Rev. B 136, B864 (1964) . - W. Kohn and L. J. Sham,
Phys. Rev. 140, A1133 (1965) . - A. D. Becke, J. Chem. Phys. 84, 4524 (1986).
- J. P. Perdew, Phys. Rev. B 33, 8822 (1986).
- C. T. Lee, W. T. Yang, and R. G. Parr, Phys. Rev. B 37, 785 (1988).
- J. Perdew and K. Schmidt, in Density Functional Theory and Its Applications to Materials, edited by V. Van Doren, C. Van Alsenoy, and P. Geerlings (AIP, Melville, NY, 2001).
- H. Metiu, J. Chem. Phys. 123, 062101 (2005).
- A. D. Becke, J. Chem. Phys. 98, 5648 (1993).
- A. D. Becke, J. Chem. Phys. 98, 1372 (1993).
- E. Proynov, A. Vela, and D. Salahub,
Chem. Phys. Lett. 230, 419 (1994) . - J. Perdew, S. Kurth, A. Zapan, and P. Blaha, Phys. Rev. Lett. 82, 2544 (1999).
- V. Sahni, J. Gruenebaum, and J. P. Perdew, Phys. Rev. B 26, 4371 (1982).
- A. Gorling and M. Levy, Phys. Rev. B 47, 13105 (1993).
- A. Gorling and M. Levy, Phys. Rev. A 50, 196 (1994).
- E. Engel and R. M. Dreizler,
J. Comput. Chem. 20, 31 (1999) . - R. J. Bartlett, in Chemistry for the 21st Century, edited by E. Keinan and I. Schechter (Wiley, Weinheim, 2001), pp. 271–286.
- R. J. Bartlett, V. F. Lotrich, and I. V. Schweigert, J. Chem. Phys. 123, 062205 (2005).
- R. T. Sharp and G. K. Horton,
Phys. Rev. 90, 317 (1953) . - J. D. Talman and W. F. Shadwick, Phys. Rev. A 14, 36 (1976).
- E. Engel, A. Facco Bonetti, S. Keller, I. Andrejkovics, and R. M. Dreizler, Phys. Rev. A 58, 964 (1998).
- A. Facco Bonetti, E. Engel, R. N. Schmid, and R. M. Dreizler, Phys. Rev. Lett. 86, 2241 (2001).
- I. Grabowski, S. Hirata, S. Ivanov, and R. J. Bartlett, J. Chem. Phys. 116, 4415 (2002).
- R. J. Bartlett, I. Grabowski, S. Hirata, and S. Ivanov, J. Chem. Phys. 122, 034104 (2005).
- P. Mori-Sanchez, Q. Wu, and W. T. Yang, J. Chem. Phys. 123, 062204 (2005).
- R. J. Bartlett, I. V. Schweigert, and V. F. Lotrich,
J. Mol. Struct.: THEOCHEM 771, 1 (2006) . - I. V. Schweigert, V. F. Lotrich, and R. J. Bartlett, J. Chem. Phys. 125, 104108 (2006).
- D. Bokhan and R. J. Bartlett,
Chem. Phys. Lett. 427, 466 (2006) . - H. Jiang and E. Engel, J. Chem. Phys. 125, 184108 (2006).
- I. Grabowski, V. Lotrich, and R. J. Bartlett, J. Chem. Phys. 127, 154111 (2007).
- S. Grimme, J. Chem. Phys. 124, 034108 (2006).
- J. B. Krieger, Y. Li, and G. J. Iafrate, Phys. Rev. A 45, 101 (1992).
- P. O. Widmark, P. A. Malmqvist, and B. O. Roos,
Theor. Chim. Acta 77, 291 (1990) . - C. Filippi, C. J. Umrigar, and X. Gonze, Phys. Rev. A 54, 4810 (1996).
- R. J. Bartlett and M. Musial, Rev. Mod. Phys. 79, 291 (2007).
- D. P. Chong, O. V. Gritsenko, and E. J. Baerends, J. Chem. Phys. 116, 1760 (2002).
- A. Beste and R. J. Bartlett, J. Chem. Phys. 120, 8395 (2004).
- See EPAPS Document No. E-JCPSA6-129-631836. For more information on EPAPS, see http://www.aip.org/pubservs/epaps.html. [EPAPS]








