Using complex degrees of freedom in the Kohn-Sham self-interaction correction

被引:49
作者
Hofmann, D. [1 ]
Kluepfel, S. [2 ]
Kluepfel, P. [2 ]
Kuemmel, S. [1 ]
机构
[1] Univ Bayreuth, D-95440 Bayreuth, Germany
[2] Univ Iceland, Inst Sci, VR 3, IS-107 Reykjavik, Iceland
来源
PHYSICAL REVIEW A | 2012年 / 85卷 / 06期
关键词
DENSITY-FUNCTIONAL THEORY; ELECTRONIC-STRUCTURE CALCULATIONS; AB-INITIO; MOLECULAR ORBITALS; INTERACTION ERROR; GROUND-STATE; APPROXIMATION; EXCHANGE; LOCALIZATION; PREDICTION;
D O I
10.1103/PhysRevA.85.062514
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The Perdew-Zunger self-interaction correction (SIC) to local and semilocal density functionals systematically underestimates molecular bond lengths, yet improves many other ground-state properties. An alternative definition of a SIC is reached by using the Perdew-Zunger energy with a global, multiplicative Kohn-Sham potential instead of the orbital-specific potentials of traditional SIC. Due to the unitary variance of the SIC energy, the most general construction of the SIC Kohn-Sham potential involves a unitary transformation of the Kohn-Sham orbitals. We systematically investigate the Kohn-Sham version of the SIC, in particular with respect to the bond-length question, and present a detailed analysis of the influence of different unitary transformations. Using a complex-valued energy-minimizing transformation appears to be the most favorable approach, and we explain this result by analyzing orbital densities. We discuss how to calculate the transformations efficiently.
引用
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页数:11
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