Range-separated time-dependent density-functional theory with a frequency-dependent second-order Bethe-Salpeter correlation kernel

作者: Elisa Rebolini , Julien Toulouse

DOI: 10.1063/1.4943003

关键词: Density functional theoryExcitationExcited stateAdiabatic theoremTime-dependent density functional theoryChemistryBethe–Salpeter equationRange (mathematics)Quantum mechanicsKernel (statistics)

摘要: We present a range-separated linear-response time-dependent density-functional theory (TDDFT) which combines approximation for the short-range response kernel and frequency-dependent second-order Bethe-Salpeter long-range kernel. This approach goes beyond adiabatic usually used in TDDFT aims at improving accuracy of calculations electronic excitation energies molecular systems. A detailed derivation correlation is given using many-body Green-function theory. Preliminary tests this method are presented calculation He Be atoms small molecules (H2, N2, CO2, H2CO, C2H4). The results suggest that addition overall slightly improves energies.

参考文章(87)
M. P. Ljungberg, P. Koval, F. Ferrari, D. Foerster, D. Sánchez-Portal, Cubic-scaling iterative solution of the Bethe-Salpeter equation for finite systems Physical Review B. ,vol. 92, pp. 075422- ,(2015) , 10.1103/PHYSREVB.92.075422
André Le Floch, Revised molecular constants for the ground state of CO Molecular Physics. ,vol. 72, pp. 133- 144 ,(1991) , 10.1080/00268979100100081
Jens Oddershede, Poul Jo/rgensen, An order analysis of the particle–hole propagator The Journal of Chemical Physics. ,vol. 66, pp. 1541- 1556 ,(1977) , 10.1063/1.434118
Davide Sangalli, Pina Romaniello, Giovanni Onida, Andrea Marini, Double excitations in correlated systems: a many-body approach. Journal of Chemical Physics. ,vol. 134, pp. 034115- 034115 ,(2011) , 10.1063/1.3518705
So Hirata, Martin Head-Gordon, Time-dependent density functional theory within the Tamm–Dancoff approximation Chemical Physics Letters. ,vol. 314, pp. 291- 299 ,(1999) , 10.1016/S0009-2614(99)01149-5
Julien Toulouse, François Colonna, Andreas Savin, Long-range/short-range separation of the electron-electron interaction in density functional theory Physical Review A. ,vol. 70, pp. 062505- ,(2004) , 10.1103/PHYSREVA.70.062505
Tamar Stein, Jochen Autschbach, Niranjan Govind, Leeor Kronik, Roi Baer, Curvature and Frontier Orbital Energies in Density Functional Theory. Journal of Physical Chemistry Letters. ,vol. 3, pp. 3740- 3744 ,(2012) , 10.1021/JZ3015937
János G. Ángyán, Iann C. Gerber, Andreas Savin, Julien Toulouse, van der Waals forces in density functional theory: Perturbational long-range electron-interaction corrections Physical Review A. ,vol. 72, pp. 012510- ,(2005) , 10.1103/PHYSREVA.72.012510
Simone Paziani, Saverio Moroni, Paola Gori-Giorgi, Giovanni B. Bachelet, Local-spin-density functional for multideterminant density functional theory Physical Review B. ,vol. 73, pp. 155111- 155117 ,(2006) , 10.1103/PHYSREVB.73.155111