Double, Rydberg, and charge transfer (CT) excitations have been great challenges for time-dependent density functional theory (TDDFT). Starting from an (N ± 2)-electron single-determinant reference, we investigate excitations for the N-electron system through the pairing matrix fluctuation, which contains information on two-electron addition/removal processes. We adopt the particle-particle random phase approximation (pp-RPA) and the particle-particle Tamm-Dancoff approximation (pp-TDA) to approximate the pairing matrix fluctuation and then determine excitation energies by the differences of two-electron addition/removal energies. This approach captures all types of interesting excitations: single and double excitations are described accurately, Rydberg excitations are in good agreement with experimental data and CT excitations display correct 1/R dependence. Furthermore, the pp-RPA and the pp-TDA have a computational cost similar to TDDFT and consequently are promising for practical calculations.
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14 December 2013
Research Article|
December 10 2013
Double, Rydberg and charge transfer excitations from pairing matrix fluctuation and particle-particle random phase approximation
Yang Yang;
Yang Yang
1Department of Chemistry,
Duke University
, Durham, North Carolina 27708, USA
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Helen van Aggelen;
Helen van Aggelen
1Department of Chemistry,
Duke University
, Durham, North Carolina 27708, USA
2Department of Inorganic and Physical Chemistry,
Ghent University
, 9000 Ghent, Belgium
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Weitao Yang
Weitao Yang
a)
3Department of Chemistry and Department of Physics,
Duke University
, Durham, North Carolina 27708, USA
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a)
Electronic mail: weitao.yang@duke.edu
J. Chem. Phys. 139, 224105 (2013)
Article history
Received:
August 21 2013
Accepted:
November 14 2013
Citation
Yang Yang, Helen van Aggelen, Weitao Yang; Double, Rydberg and charge transfer excitations from pairing matrix fluctuation and particle-particle random phase approximation. J. Chem. Phys. 14 December 2013; 139 (22): 224105. https://doi.org/10.1063/1.4834875
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