Many-body diagrammatic expansion for the exchange-correlation kernel in time-dependent density functional theory

Physical Review B - Condensed Matter and Materials Physics

Volumn 65, Issue 11, 2002, Pages 1-4

  Tokatly, I V ^a   Stubner, R ^a   Pankratov, O ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

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Indexed keywords

EID: 85038271388     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.113107     Document Type: Article

References (15)

1. E. Runge and E.K.U. Gross, Phys. Rev. Lett. 52, 997 (1984).
2. J. Theilhaber, Phys. Rev. B 46, 12 990 (1992).
3. Y. Miyamoto and O. Sugino, Phys. Rev. B 62, 2039 (2000).
4. F. Kootstra, P.L. de Boeij, and J.G. Snijders, J. Phys. Chem. 112, 6517 (2000).
5. M. Petersilka, E.K.U. Gross, and K. Burke, Int. J. Quantum Chem. 80, 534 (2000).
6. M.E. Casida and D.R. Salahub, J. Chem. Phys. 113, 8918 (2000).
7. M. Petersilka, U.J. Gossmann, and E.K.U. Gross, Phys. Rev. Lett. 76, 1212 (1996).
8. I.V. Tokatly and O. Pankratov, Phys. Rev. Lett. 86, 2078 (2001).
9. A. Görling, Int. J. Quantum Chem. 69, 265 (1998).
10. E. M. Lifshitz and L. P. Pitaewski, Statistical Physics, Part 2, Course of Theoretical Physics (Pergamon, New York, 1980), Vol. 9.
11. Interestingly, the rules (ii)-(iv) coincide with the diagrammatic rules for the xc potential (formula presented) (Ref. 8). The only difference is the choice of the parent graphs in (i) (loops with one or two external points for (formula presented) is not degenerate. In the case of M-fold degeneracy, the denominator in Eq. (6) is replaced by the inverse of the (formula presented) belong to the set of degenerate states.
12. C.F. Richardson and N.W. Ashcroft, Phys. Rev. B 50, 8170 (1994).
13. M. Lein, E.K.U. Gross, and J.P. Perdew, Phys. Rev. B 61, 13 431 (2001);
14. Phys. Rev. BK. Tatarczyk, A. Schindlmayr, and M. Scheffler, 63, 235106 (2001).
15. A. Görling, Phys. Rev. A 54, 3912 (1996).