Long-range behavior and frequency dependence of exchange-correlation kernels in solids

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 4, 2003, Pages

  Del Sole, Rodolfo ^a   Adragna, Giovanni ^a   Olevano, Valerio ^b   Reining, Lucia ^b  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

^b LABORATOIRE DES SOLIDES IRRADIÉS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DIAMOND; SILICON;

ABSORPTION; ARTICLE; CALCULATION; ELECTRON; ELECTRONICS; ELEMENTARY PARTICLE; ENERGY; MATHEMATICAL ANALYSIS; PARTICLE SIZE; SOLID;

EID: 0037438549     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.67.045207     Document Type: Article

References (29)

1. See, e.g., W. Hanke and L J. Sham, Phys. Rev. Lett.43, 387 (1979);
2. W. HankeL J. ShamPhys. Rev. B21, 4656 (1980).
3. G. Onida, L. Reining, R W. Godby, R. Del Sole, and W. Andreoni, Phys. Rev. Lett.75, 818 (1995);
4. Phys. Rev. Lett.S. Albrecht, L. Reining, R. Del Sole, and G. Onida, 80, 4510 (1998).
5. L X. Benedict, E L. Shirley, and R B. Bohn, Phys. Rev. B57, R9385 (1998);
6. M. Rohlfing and S G. Louie, Phys. Rev. Lett.81, 2312 (1998);
7. B. Arnaud and M. Alouani, Phys. Rev. B63, 085208 (2001).
8. E. Runge and E K U. Gross, Phys. Rev. Lett.52, 997 (1984);
9. Phys. Rev. Lett.E K U. Gross and W. Kohn, 55, 2850 (1985).
10. W. Kohn and L J. Sham, Phys. Rev.140, A1133 (1965).
11. A. Zangwill and P. Soven, Phys. Rev. A21, 1561 (1980);
12. for a recent application, see I. Vasiliev, S. Öğüt, and J R. Chelikowsky, Phys. Rev. Lett.82, 1919 (1999).
13. Ph. Ghosez, X. Gonze, and R W. Godby, Phys. Rev. B56, 12 811 (1997);
14. X. Gonze, Ph. Ghosez, and R W. Godby, Phys. Rev. Lett.74, 4035 (1995).
15. W G. Aulbur, L. Jonsson, and J W. Wilkins, Phys. Rev. B54, 8540 (1996).
16. L. Reining, V. Olevano, A. Rubio, and G. Onida, Phys. Rev. Lett.88, 066404 (2002).
17. S. Botti, F. Sottile, N. Vast, V. Olevano, L. Reining, A. Rubio, and G. Onida (unpublished).
18. L. Hedin and S. Lundquist, in Solid State Physics, edited by H. Herenreich, F. Seitz, and D. Turnbull (Academic, New York, 1969), Vol. 23, p. 1.
19. J E. Rowe and D E. Aspnes, Phys. Rev. Lett.25, 162 (1970);
20. R M. Martin, J A. Van Vechten, J E. Rowe, and D E. Aspnes, Phys. Rev. B6, 2500 (1972).
21. P. Streitenberger, Phys. Status Solidi B125, 681 (1984).
22. R. Nifosi, S. Conti, and M P. Tosi, Phys. Rev. B58, 12 758 (1998).
23. V. Olevano and L. Reining, Phys. Rev. Lett.86, 5962 (2001).
24. G. Onida, L. Reining, and A. Rubio, Rev. Mod. Phys.74, 601 (2002), Appendix A.
25. It can be shown that Eq. (9) is valid also if (formula presented) includes the microscopic components of (formula presented)—namely, those with (formula presented) and/or (formula presented) different from zero.
26. Y H. Kim and A. Görling, Phys. Rev. Lett.89, 096402 (2002).
27. P. Lautenschlager, M. Garriga, L. Vina, and M. Cardona, Phys. Rev. B36, 4821 (1987).
28. J. Stiebling, Z. Phys. B31, 355 (1978).
29. This is hence an alternative to the work in Ref. 9, where Eq. (9) suggests a spatially complex, but always static, (formula presented)