Analysis of exact vertex function for improving on the GWΓ scheme for first-principles calculation of electron self-energy

Physical Review B - Condensed Matter and Materials Physics

Volumn 84, Issue 24, 2011, Pages

  Maebashi, Hideaki ^a   Takada, Yasutami ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84855444565     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.245134     Document Type: Article

References (40)

1. S. Tomonaga, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.5.544 5, 544 (1950).
2. J. M. Luttinger, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704046 4, 1154 (1963).
3. L. Hedin, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.139.A796 139, A796 (1965).
4. G. Baym and L. P. Kadanoff, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.124.287 124, 287 (1961).
5. G. Baym, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.127.1391 127, 1391 (1962).
6. J. C. Ward, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.78.182 78, 182 (1950).
7. Y. Takahashi, Nuovo Cimento Ser. 106, 370 (1957).
8. Y. Takada, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 226402 87, 226402 (2001).
9. A. Kutepov, S. Y. Savrasov, and G. Kotliar, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.80.041103 80, 041103 (R) (2009).
10. Y. Takada, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.52.12708 52, 12708 (1995).
11. Y. Takada, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/ S0217979201006471 15, 2595 (2001).
12. Y. Takada, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/0022-3697(93) 90290-8 54, 1779 (1993).
13. Y. Takada and T. Higuchi, Phys. Rev. B JPCSAW 1098-0121 10.1103/PhysRevB.52.12720 52, 12720 (1995).
14. O. V. Danylenko, O. V. Dolgov, and V. V. Losyakov, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(97)00226-0 230, 79 (1997).
15. F. Bruneval, F. Sottile, V. Olevano, R. Del Sole, and L. Reining, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.186402 94, 186402 (2005). (Pubitemid 41493064)
16. M. Shishkin, M. Marsman, and G. Kresse, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.246403 99, 246403 (2007). (Pubitemid 350276636)
17. Y. Takada, J. Supercond. 18, 785 (2005).
18. H. Maebashi and Y. Takada, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.78.053706 78, 053706 (2009).
19. H. Maebashi and Y. Takada, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/21/6/064205 21, 064205 (2009).
20. M. Holzmann, B. Bernu, C. Pierleoni, J. McMinis, D. M. Ceperley, V. Olevano, and L. Delle Site, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.110402 107, 110402 (2011).
21. W. Kohn and J. M. Luttinger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.118.41 118, 41 (1960).
22. C. J. Halboth and W. Metzner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.5162 85, 5162 (2000). (Pubitemid 32871799)
23. W. Metzner, D. Rohe, and S. Andergassen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.066402 91, 066402 (2003).
24. H. Yasuhara and Y. Ousaka, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(87)90676-4 64, 673 (1987). (Pubitemid 18603566)
25. Y. Takada, Phys. Rev. B SSCOA4 1098-0121 10.1103/PhysRevB.43.5979 43, 5979 (1991).
26. C. F. Richardson and N. W. Ashcroft, Phys. Rev. B SSCOA4 1098-0121 10.1103/PhysRevB.50.8170 50, 8170 (1994).
27. G. Niklasson, Phys. Rev. B SSCOA4 1098-0121 10.1103/PhysRevB.10.3052 10, 3052 (1974).
28. M. Lein, E. K. U. Gross, and J. P. Perdew, Phys. Rev. B SSCOA4 1098-0121 10.1103/PhysRevB.61.13431 61, 13431 (2000).
29. H. Yasuhara, S. Yoshinaga, and M. Higuchi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.3250 83, 3250 (1999).
30. Y. Takada and H. Yasuhara, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.44.7879 44, 7879 (1991).
31. S. Ishii, H. Maebashi, and Y. Takada, e-print arXiv: 1003.3342.
32. S. Moroni, D. M. Ceperley, and G. Senatore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.689 75, 689 (1995).
33. K. S. Singwi, M. P. Tosi, R. H. Land, and A. Sjölander, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.176.589 176, 589 (1968).
34. K. Yoshizawa and Y. Takada, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/21/6/064204 21, 064204 (2009).
35. T. Hasegawa and M. Shimizu, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.38.965 38, 965 (1975).
36. A. Holas and S. Rahman, Phys. Rev. B JUPSAU 1098-0121 10.1103/PhysRevB.35.2720 35, 2720 (1987).
37. H. K. Schweng and H. M. Böhm, Phys. Rev. B JUPSAU 1098-0121 10.1103/PhysRevB.48.2037 48, 2037 (1993).
38. E. Runge and E. K. U. Gross, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52.997 52, 997 (1984).
39. E. K. U. Gross and W. Kohn, Adv. Quantum Chem. PRLTAO 0065-3276 10.1016/S0065-3276(08)60600-0 21, 255 (1990).
40. E. K. U. Gross, J. F. Dobson, and M. Petersilka, in Density Functional Theory II, edited by, R. F. Nalewajski, Topics in Current Chemistry, Vol. 181 (Springer, Berlin, 1996), Chap. 2, pp. 81-172.