Convexity of the self-energy functional in the variational cluster approximation

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 7, 2008, Pages

  Nevidomskyy, Andriy H ^a,b   Sénéchal, David ^a   Tremblay, A M S ^a  

^a UNIVERSITÉ DE SHERBROOKE   (Canada)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 40949130110     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.075105     Document Type: Article

References (19)

1. R. Dreizler and E. Gross, Density Functional Theory: An Approach to the Quantum Many-body Problem (Springer-Verlag, Berlin, 1990).
2. J. Luttinger and J. Ward, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.118.1417 118, 1417 (1960).
3. G. Baym and L. Kadanoff, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.124. 287 124, 287 (1961).
4. G. Kotliar, S. Y. Savrasov, K. Haule, V. S. Oudovenko, O. Parcollet, and C. A. Marianetti, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.865 78, 865 (2006).
5. A. Georges, G. Kotliar, W. Krauth, and M. Rozenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.68.13 68, 13 (1996).
6. R. Chitra and G. Kotliar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.115110 63, 115110 (2001).
7. J. Hubbard, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1963.0204 276, 238 (1963).
8. M. Potthoff, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00121-8 32, 429 (2003).
9. G. Kotliar, S. Y. Savrasov, G. Palsson, and G. Biroli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.186401 87, 186401 (2001).
10. M. Potthoff, M. Aichhorn, and C. Dahnken, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.206402 91, 206402 (2003).
11. G. Kotliar, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050914 11, 27 (1999).
12. M. Potthoff and M. Aichhorn (private communication).
13. S. Doniach and E. H. Sondheimer, Green's Functions for Solid State Physicists (Benjamin, New York, 1974), Chap..
14. N.-H. Tong, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.115104 72, 115104 (2005).
15. M. Aichhorn, E. Arrigoni, M. Potthoff, and W. Hanke, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.024508 74, 024508 (2006).
16. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C++: The Art of Scientific Computing (Cambridge University Press, Cambridge, England, 2002), Chap..
17. P. Culot, G. Dive, V. Nguyen, and J. Ghuysen, Theor. Chim. Acta TCHAAM 0040-5744 10.1007/BF01113251 82, 189 (1992).
18. N.-H. Tong and F.-C. Pu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.9425 62, 9425 (2000);
19. N.-H. Tong, S.-Q. Shen, and R. Bulla, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.085118 70, 085118 (2004).