Equation of motion method for composite field operators

European Physical Journal B

Volumn 36, Issue 1, 2003, Pages 37-56

  Mancini, F ^a   Avella, A ^a  

^a UNIVERSITY OF SALERNO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; GREEN'S FUNCTION; NATURAL FREQUENCIES; PERTURBATION TECHNIQUES;

BUILDING BLOCKS; COMPOSITE FIELD OPERATORS; HILBERT SPACE; SPIN DYNAMICS;

COMPOSITE MATERIALS;

EID: 2542614708     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2003-00315-0     Document Type: Article

References (48)

1. It is also possible to have fermionic systems with occupation numbers per site equal to either 0 or 1 independently from the spin (e.g., the t-J model) or just fixed to 1 (e.g., the spin-1/2 Heisenberg model)
2. N. Bogoliubov, S. Tyablikov, Dokl. Akad. Nauk. USSR 126, 53 (1959)
3. H. Mori, Progr. Theor. Phys. 33, 423 (1965);
4. H. Mori, Progr. Theor. Phys. 34, 399 (1965)
5. D.J. Rowe, Rev. Mod. Phys. 40, 153 (1968)
6. L.M. Roth, Phys. Rev. 184, 451 (1969)
7. W. Nolting, Z. Phys. 255, 25 (1972)
8. Y.A. Tserkovnikov, Teor. Mat. Fiz. 49, 219 (1981)
9. W. Nolting, W. Borgiel, Phys. Rev. B 39, 6962 (1989)
10. N.M. Plakida, V.Y. Yushankhai, I.V. Stasyuk, Physica C 162-164, 787 (1989)
11. A.J. Fedro, Y. Zhou, T.C. Leung, B.N. Harmon, S.K. Sinha, Phys. Rev. B 46, 14785 (1992)
12. P. Fulde, Electron Correlations in Molecules and Solids, 3rd edn. (Springer-Verlag, 1995),
13. F. Mancini, S. Marra, H. Matsumoto, Physica C 244, 49 (1995);
14. F. Mancini, S. Marra, H. Matsumoto, Physica C 250, 184 (1995)
15. ;F. Mancini, S. Marra, H. Matsumoto, Physica C 252, 361 (1995);
16. A. Avella, F. Mancini, R. Münzner, Phys. Rev. B 63, 245117 (2001);
17. V. Fiorentino, F. Mancini, E. Zasinas, A.F. Barabanov, Phys. Rev. B 64, 214515 (2001)
18. A. Avella, F. Mancini, D. Villani, L. Siurakshina, V.Y. Yushankhai, Int. J. Mod. Phys. B 12, 81 (1998)
19. S. Ishihara, H. Matsumoto, S. Odashima, M. Tachiki, F. Mancini, Phys. Rev. B 49, 1350 (1994);
20. H. Matsumoto, T. Saikawa, F. Mancini, Phys. Rev. B 54, 14445 (1996);
21. H. Matsumoto, F. Mancini, Phys. Rev. B 55, 2095 (1997)
22. V. Vaks, A. Larkin, S. Pikin, Sov. Phys. JETP 26, 188 (1962)
23. R. Zaitsev, Sov. Phys. JETP 43, 574 (1976)
24. Y. Izyumov, B. Letfulov, J. Phys.: Condens. Matter 2, 8905 (1990)
25. H. Umezawa, Advanced Field Theory: Micro, Macro and Thermal Physics (A.I.P., New York, 1993), and references therein
26. J.C. Ward, Phys. Rev. 78, 182 (1950);
27. Y. Takahashi, Nuovo Cimento 6, 370 (1957)
28. We can choose: the higher order fields emerging from the equations of motion (i.e., the conservation of some spectral moments is assured) [37], the eigenoperators of some relevant interacting terms (i.e., the relevant interactions are correctly treated) [38], the eigenoperators of the problem reduced to a small cluster [39], the composite field describing the Kondo-like singlet emerging at low-energy in any electronic spin system [40], ...
29. N. Mermin, H. Wagner, Phys. Rev. Lett. 17, 1133 (1966)
30. We choose fermionic operators to study the local, thermodynamic and single-particle properties and bosonic ones to analyze the response functions
31. D.N. Zubarev, Sov. Phys. Uspekhi 3, 320 (1960)
32. D. Zubarev, Non Equilibrium Statistical, Thermodynamics (Consultants Bureau, New York, 1974)
33. R. Kubo, J. Phys. Soc. Jpn 12, 570 (1957)
34. H. Callen, R. Swendsen, R. Tahir-Kheli, Phys. Lett. A 25, 505 (1967)
35. M. Suzuki, Physica 51, 277 (1971)
36. D.L. Huber, Physica A 87, 199 (1977)
37. V. Aksenov, H. Konvent, J. Schreiber, Phys. Status Solids (b) 88, K43 (1978)
38. V. Aksenov, J. Schreiber, Phys. Lett. A 69, 56 (1978)
39. V. Aksenov, M. Bobeth, N. Plakida, J. Schreiber, J. Phys. C. 20, 375 (1987)
40. F. Mancini, A. Avella, Condens. Matter Phys. 1, 11 (1998)
41. A. Avella, F. Mancini, T. Saikawa (2001), cond-mat/0103610; submitted to Eur. Phys. J. B
42. C. Zener, Phys. Rev. B 82, 403 (1951)
43. F. Mancini, N. Perkins, N. Plakida, Phys. Lett. A 284, 286 (2001)
44. S. Tyablikov, Methods in Quantum Theory of Magnetism (Plenum Press, New York, 1967)
45. F. Mancini, Phys. Lett. A 249, 231 (1998)
46. A. Avella, F. Mancini, S. Odashima, Physica C 388, 76 (2003)
47. A. Avella, F. Mancini, S. Odashima, preprint of the University of Salerno, to be published in Magn. Magn. Mater.
48. D. Villani, E. Lange, A. Avella, G. Kotliar, Phys. Rev. Lett. 85, 804 (2000)