Non-perturbative construction of the Luttinger-Ward functional

Condensed Matter Physics

Volumn 9, Issue 3, 2006, Pages 557-567

  Potthoff, M ^a  

^a UNIVERSITY OF WÜRZBURG   (Germany)

Author keywords

Conserving approximations; Diagrammatic perturbation theory; Dynamical mean field theory; Functional integral approach; Luttinger Ward functional; Self energy functional theory

Indexed keywords

EID: 33750135665     PISSN: 1607324X     EISSN: None     Source Type: Journal    
DOI: 10.5488/CMP.9.3.557     Document Type: Article

References (31)

1. Abrikosow A.A., Gorkov L.P., Dzyaloshinski I.E. Methods of Quantum Field Theory in Statistical Physics. Prentice-Hall, New Jersey, 1964.
2. Fetter A.L., Walecka J.D. Quantum Theory of Many-Particle Systems. McGraw-Hill, New York, 1971.
3. Negele J.W., Orland H. Quantum Many-Particle Systems. Addison-Wesley, Redwood City, 1988.
4. Luttinger J.M., Ward J.C., Phys. Rev., 1960, 118, 1417.
5. Hubbard J., Proc. R. Soc. London A, 1963, 276, 238.
6. Baym G., Phys. Rev., 1962, 127, 1391.
7. Luttinger J.M., Phys. Rev., 1960, 119, 1153.
8. Baym G., Kadanoff L.P., Phys. Rev., 1961, 124, 287.
9. Bickers N.E., Scalapino D.J., White S.R., Phys. Rev. Lett., 1989, 62, 961.
10. Bickers N.E., Scalapino D.J., Ann. Phys. (N.Y.), 1989, 193, 206.
11. Keiter H., Kimball J.C., J. Appl. Phys., 1971, 42, 1460.
12. Grewe N., Keiter H., Phys. Rev. B, 1981, 24, 4420.
13. Haule K., Kirchner S., Kroha J., Wölfle P., Phys. Rev. B, 2001, 64, 155111.
14. Metzner W., Vollhardt D., Phys. Rev. Lett., 1989, 62, 324.
15. Georges A., Kotliar G., Phys. Rev. B, 1992, 45, 6479.
16. Jarrell M., Phys. Rev. Lett., 1992, 69, 168.
17. Georges A., Kotliar G., Krauth W., Rozenberg M.J., Rev. Mod. Phys., 1996, 68, 13.
18. Potthoff M., Euro. Phys. J. B, 2003, 32, 429.
19. Potthoff M., Euro. Phys. J. B, 2003, 36, 335.
20. Potthoff M., Aichhorn M., Dahnken C., Phys. Rev. Lett., 2003, 91, 206402.
21. Dahnken C., Aichhorn M., Hanke W., Arrigoni E., Potthoff M., Phys. Rev. B, 2004, 70, 245110.
22. Potthoff M., Adv. Solid State Phys., 2005, 45, 135.
23. Hofstetter W., Kehrein S., Phys. Rev. B, 1999, 59, R12732.
24. Kehrein S., Phys. Rev. Lett., 1998, 81, 3912.
25. Kotliar G., Euro. Phys. J. B, 1999, 11, 27.
26. Savrasov S.Y., Kotliar G., Phys. Rev. B, 2004, 69, 245101.
27. Georges A. Strongly correlated electron materials: Dynamical mean-field theory and electronic structure. Lecture on the Physics of Highly Correlated Electron Systems VIII. American Institute of Physics Conference Proceedings 2004, 715, 3.
28. Freericks J.K., Zlatić V., Rev. Mod. Phys., 2003, 75, 1333.
29. Oshikawa M., Phys. Rev. Lett., 2000, 84, 3370.
30. Almbladh C.O., von Barth U., van Leeuwen R., Int. J. Mod. Phys. B, 1999, 13, 535.
31. Potthoff M., Balzer M. (to be published).