The cumulant expansion for the Anderson lattice with finite U: The completeness problem

International Journal of Modern Physics B

Volumn 12, Issue 7-8, 1998, Pages 837-859

  Foglio, M E ^a,c   Figueira, M S ^b  

^a UNIVERSITY OF CAMPINAS   (Brazil)

^b FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

^c ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000973415     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/s021797929800048x     Document Type: Article

References (43)

1. J. Hubbard, Proc. R. Soc. London, Ser. A296, 82 (1966).
2. M. E. Foglio, Brazilian Journal of Physics accepted for publication 8, (1997).
3. L. Craco and M. A. Gusmão, Phys. Rev. B52, 17135 (1995).
4. A. C. Hewson, J. Phys. C: Solid State Phys. 10, 4973 (1977).
5. M. S. Figueira, M. E. Foglio and G. G. Martinez, Phys. Rev. B50, 17933 (1994).
6. P. A. Lee, T. M. Rice, J. W. Serene, L. J. Sham and J. W. Wilkins, Comments Cond. Mat. Phys. 12, 99 (1986); P. Fulde, Solid State Physics 41, 1 (1988); P. Schlottmann, Phys. Rep. 181, 1 (1989); A. C. Hewson, The Kondo problem to Heavy Fermions (Cambridge U. P. Cambridge 1993); A. Georges, G. Kotliar, W. Krauth and M. J. Rozenberg. Rev. Mod. Phys. 68. 13 (1996).
7. P. A. Lee, T. M. Rice, J. W. Serene, L. J. Sham and J. W. Wilkins, Comments Cond. Mat. Phys. 12, 99 (1986); P. Fulde, Solid State Physics 41, 1 (1988); P. Schlottmann, Phys. Rep. 181, 1 (1989); A. C. Hewson, The Kondo problem to Heavy Fermions (Cambridge U. P. Cambridge 1993); A. Georges, G. Kotliar, W. Krauth and M. J. Rozenberg. Rev. Mod. Phys. 68. 13 (1996).
8. P. A. Lee, T. M. Rice, J. W. Serene, L. J. Sham and J. W. Wilkins, Comments Cond. Mat. Phys. 12, 99 (1986); P. Fulde, Solid State Physics 41, 1 (1988); P. Schlottmann, Phys. Rep. 181, 1 (1989); A. C. Hewson, The Kondo problem to Heavy Fermions (Cambridge U. P. Cambridge 1993); A. Georges, G. Kotliar, W. Krauth and M. J. Rozenberg. Rev. Mod. Phys. 68. 13 (1996).
9. P. A. Lee, T. M. Rice, J. W. Serene, L. J. Sham and J. W. Wilkins, Comments Cond. Mat. Phys. 12, 99 (1986); P. Fulde, Solid State Physics 41, 1 (1988); P. Schlottmann, Phys. Rep. 181, 1 (1989); A. C. Hewson, The Kondo problem to Heavy Fermions (Cambridge U. P. Cambridge 1993); A. Georges, G. Kotliar, W. Krauth and M. J. Rozenberg. Rev. Mod. Phys. 68. 13 (1996).
10. P. A. Lee, T. M. Rice, J. W. Serene, L. J. Sham and J. W. Wilkins, Comments Cond. Mat. Phys. 12, 99 (1986); P. Fulde, Solid State Physics 41, 1 (1988); P. Schlottmann, Phys. Rep. 181, 1 (1989); A. C. Hewson, The Kondo problem to Heavy Fermions (Cambridge U. P. Cambridge 1993); A. Georges, G. Kotliar, W. Krauth and M. J. Rozenberg. Rev. Mod. Phys. 68. 13 (1996).
11. M. Wortis, in Phase Transitions and Critical Phenomena, eds. C. Domb and M. S. Green (Academic, London, 1974), Vol. 3, p. 113.
12. F. Englert, Phys. Rev. 129, 567 (1963).
13. R. B. Stinchcombe, G. Horwitz, F. Englert and Rf. Brout, Phys. Rev. 130, 155 (1963).
14. J. Hubbard, Proc. R. Soc. London, Ser. A276, 238 (1964); ibid. A277, 237 (1964); ibid. A281, 401 (1964). (These are the first three papers of a series of six).
15. J. Hubbard, Proc. R. Soc. London, Ser. A276, 238 (1964); ibid. A277, 237 (1964); ibid. A281, 401 (1964). (These are the first three papers of a series of six).
16. J. Hubbard, Proc. R. Soc. London, Ser. A276, 238 (1964); ibid. A277, 237 (1964); ibid. A281, 401 (1964). (These are the first three papers of a series of six).
17. P. Fulde, Electron correlations in Molecules and Solids (Springer-Verlag, 1995); K. W. Becker and P. Fulde, Z. Phys. B72, 423 (1988); K. W. Becker and P. Fulde, J. Chem. Phys. 91, 4223 (1988); K. W. Becker and W. Brenig, Z. Phys. B79, 195 (1990).
18. P. Fulde, Electron correlations in Molecules and Solids (Springer-Verlag, 1995); K. W. Becker and P. Fulde, Z. Phys. B72, 423 (1988); K. W. Becker and P. Fulde, J. Chem. Phys. 91, 4223 (1988); K. W. Becker and W. Brenig, Z. Phys. B79, 195 (1990).
19. P. Fulde, Electron correlations in Molecules and Solids (Springer-Verlag, 1995); K. W. Becker and P. Fulde, Z. Phys. B72, 423 (1988); K. W. Becker and P. Fulde, J. Chem. Phys. 91, 4223 (1988); K. W. Becker and W. Brenig, Z. Phys. B79, 195 (1990).
20. P. Fulde, Electron correlations in Molecules and Solids (Springer-Verlag, 1995); K. W. Becker and P. Fulde, Z. Phys. B72, 423 (1988); K. W. Becker and P. Fulde, J. Chem. Phys. 91, 4223 (1988); K. W. Becker and W. Brenig, Z. Phys. B79, 195 (1990).
21. Yu. A. Izyumov, B. M. Leffulov, E. V. Shipitsyn, M. Bartkowiak and K. A. Chao, Phys. Rev. B46, 15697 (1992).
22. M. Bartkowiak and K. A. Chao, Phys. Rev. B47, 1616 (1993).
23. W. Metzner, Phys. Rev. B43, 8549 (1991).
24. E. V. Anda, J. Phys. C: Solid State Phys. 14, L1037 (1981).
25. M. S. Figueira and M. E. Foglio, J. Phys.: Condens. Matter 8, 5017 (1996).
26. J. W. Negele and H. Orland, Quantum Many-Particle Systems (Addison-Wesley, New York, 1988), Chap. 2.
27. D. H. Y. Yang and Y. L. Wang, Phys. Rev. B10, 4714 1974.
28. M. S. Figueira and M. E. Foglio, Physica A208, 279 (1994).
29. D. H. Y. Yang and Y. L. Wang, Phys. Rev. B12, 1057 (1975).
30. M. Bartkowiak and K. A. Chao, Phys. Rev. B47, 4193 (1993).
31. R. B. Stinchcombe, J. Phys. C: Solid State Phys. 3, 2266 (1970).
32. M. G. Cottam and R. B. Stinchcombe, J. Phys. C: Solid State Phys. 3, 2283 (1970).
33. H. Keiter and G. Morandi, Phys. Rep. 109, 227 (1981).
34. A. A. Abrikosov, L. P. Gorkov and I. E. Szyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover, 1975).
35. N. Grewe and H. Keiter, Phys. Rev. B24, 4420 (1981).
36. T. V. Ramakrishnan and K. Sur, Phys. Rev. B26, 1798 (1982).
37. M. Gaudin, J. Nucl. Phys. 15, 89 (1960).
38. C. Bloch and J. S. Langer, J. Math. Phys. 6, 554 (1965).
39. M. S. Figueira, Ph.D. thesis, Universidade Estadual de Campinas, SP, Brazil, 1994.
40. L. T. Peixoto and M. E. Foglio, Phys. Rev. B32, 2596 (1985)
41. M. Bartkowiak, "High density expansion for narrow band systems", Ph.D. Thesis, Adam Mickiewicz University, Poznan, Poland, 1988).
42. G. Baym, Phys. Rev. 127, 1391 (1962).
43. L. Craco and M. A. Gusmão, Phys. Rev. B54, 1629 (1996).