The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
Many-electron self-interaction error in approximate density functionals
Abstract
One of the most important challenges in density functional theory (DFT) is the proper description of fractional charge systems relating to the self-interaction error (SIE). Traditionally, the SIE has been formulated as a one-electron problem, which has been addressed in several recent functionals. However, these recent one-electron SIE-free functionals, while greatly improving the description of thermochemistry and reaction barriers in general, still exhibit many of the difficulties associated with SIE. Thus we emphasize the need to surpass this limit and shed light on the many-electron SIE. After identifying the sufficient condition for functionals to be free from SIE, we focus on the symptoms and investigate the performance of most popular functionals. We show that these functionals suffer from many-electron SIE. Finally, we give a SIE classification of density functionals.
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Cites
Generalized Gradient Approximation Made Simple
Perdew, J. P., Burke, K., & Ernzerhof, M. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.3865 · Cited by 215,824
Density-functional thermochemistry. III. The role of exact exchange
Becke, A. D. (1993) · The Journal of Chemical Physics · doi:10.1063/1.464913 · Cited by 103,767
Lee, C., Yang, W., & Parr, R. G. (1988) · Physical Review B · doi:10.1103/physrevb.37.785 · Cited by 100,874
Self-citationDensity-functional exchange-energy approximation with correct asymptotic behavior
Becke, A. D. (1988) · Physical Review A · doi:10.1103/physreva.38.3098 · Cited by 53,711
Accurate and simple analytic representation of the electron-gas correlation energy
Perdew, J. P., & Wang, Y. (1992) · Physical Review B · doi:10.1103/physrevb.45.13244 · Cited by 25,089
Self-interaction correction to density-functional approximations for many-electron systems
Perdew, J. P., & Zunger, A. (1981) · Physical Review B · doi:10.1103/physrevb.23.5048 · Cited by 20,887
Toward reliable density functional methods without adjustable parameters: The PBE0 model
Adamo, C., & Barone, V. (1999) · The Journal of Chemical Physics · doi:10.1063/1.478522 · Cited by 19,042
A new hybrid exchange–correlation functional using the Coulomb-attenuating method (CAM-B3LYP)
Yanai, T., Tew, D. P., & Handy, N. C. (2004) · Chemical Physics Letters · doi:10.1016/j.cplett.2004.06.011 · Cited by 14,976
Density Functional Theory of Atoms and Molecules
Parr, R. G. (1980) · Horizons of Quantum Chemistry · doi:10.1007/978-94-009-9027-2_2 · Cited by 11,964
Tao, J., Perdew, J. P., Staroverov, V. N., & Scuseria, G. E. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.146401 · Cited by 7,093
Cited by
Long-range corrected hybrid density functionals with damped atom–atom dispersion corrections
Chai, J.-D., & Head-Gordon, M. (2008) · Physical Chemistry Chemical Physics · doi:10.1039/b810189b · Cited by 14,648
Insights into Current Limitations of Density Functional Theory
Cohen, A. J., Mori-Sánchez, P., & Yang, W. (2008) · Science · doi:10.1126/science.1158722 · Cited by 2,527
Self-citationMardirossian, N., & Head-Gordon, M. (2017) · Molecular Physics · doi:10.1080/00268976.2017.1333644 · Cited by 2,307
Density functional theory for transition metals and transition metal chemistry
Cramer, C. J., & Truhlar, D. G. (2009) · Physical Chemistry Chemical Physics · doi:10.1039/b907148b · Cited by 1,648
Can short-range hybrids describe long-range-dependent properties?
Henderson, T. M., Izmaylov, A. F., Scalmani, G., & Scuseria, G. E. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3185673 · Cited by 555
Metadata
- Authors
- Mori-Sánchez, P., Cohen, A. J., & Yang, W.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 2006-11-28
- Volume
- 125
- Issue
- 20
- Pages
- 201102-201102
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W1986783124
- Cited by
- 745
- References
- 21
- FWCI
- 19.12
- Type
- journal article
- Language
- en
- Open access
- closed
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- Mori-Sánchez, P., Cohen, A. J., & Yang, W. (2006). Many-electron self-interaction error in approximate density functionals. The Journal of Chemical Physics. https://doi.org/10.1063/1.2403848
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