Self-consistent random phase approximation: Application to the Hubbard model for finite number of sites

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 8, 2005, Pages

  Jemaï, Mohsen ^a,d   Schuck, Peter ^a,b   Dukelsky, Jorge ^c   Bennaceur, Raouf ^d  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b UNIVERSITÉ JOSEPH FOURIER   (France)

^c INSTITUTO DE ESTRUCTURA DE LA MATERIA   (Spain)

^d FACULTÉ DES SCIENCES DE TUNIS   (Tunisia)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ATOMIC PARTICLE; BOSON; DENSITY; ENERGY TRANSFER; FERMION; GAS; MATHEMATICAL MODEL; SUPERCONDUCTOR; TEMPERATURE;

EID: 16444365231     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.085115     Document Type: Article

References (37)

1. A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971).
2. G. D. Mahan, Many-Particle Physics (Plenum Press, New York, 1981).
3. F. Furche, Phys. Rev. B 64, 195120 (2001).
4. G. F. Bertsch, C. Guet, and K. Hagino, physics/0306058 (unpublished).
5. A. K. Kerman and C. Y. Lin, Ann. Phys. (N.Y.) 241, 185 (1995); 269, 55 (1998).
6. A. K. Kerman and C. Y. Lin, Ann. Phys. (N.Y.) 241, 185 (1995); 269, 55 (1998).
7. P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer, Berlin, 1980).
8. G. Baym and L. P. Kadanoff, Phys. Rev. 124 287 (1961); G. Baym, ibid. 127, 1391 (1962); Phys. Lett. 1, 242 (1962).
9. G. Baym and L. P. Kadanoff, Phys. Rev. 124 287 (1961); G. Baym, ibid. 127, 1391 (1962); Phys. Lett. 1, 242 (1962).
10. G. Baym and L. P. Kadanoff, Phys. Rev. 124 287 (1961); G. Baym, ibid. 127, 1391 (1962); Phys. Lett. 1, 242 (1962).
11. J. P. Blaizot and G. Ripka, Quantum Theory of Finite Systems (MIT Press, Cambridge, MA, 1986).
12. P. Schuck and S. Ethofer, Nucl. Phys. A 212, 269 (1973); J. Dukelsky and P. Schuck, ibid. 512 466 (1990); J. Dukelsky, G. Röpke, and P. Schuck, ibid. 628, 17 (1998).
13. P. Schuck and S. Ethofer, Nucl. Phys. A 212, 269 (1973); J. Dukelsky and P. Schuck, ibid. 512 466 (1990); J. Dukelsky, G. Röpke, and P. Schuck, ibid. 628, 17 (1998).
14. P. Schuck and S. Ethofer, Nucl. Phys. A 212, 269 (1973); J. Dukelsky and P. Schuck, ibid. 512 466 (1990); J. Dukelsky, G. Röpke, and P. Schuck, ibid. 628, 17 (1998).
15. P. Krüger and P. Schuck, Europhys. Lett. 27, 395 (1994); J. G. Hirsch, A. Mariano, J. Dukelsky, and P. Schuck, Ann. Phys. (N.Y.) 296, 187 (2002); A. Storozhenko, P. Schuck, J. Dukelsky, G. Röpke, and A. Vdovin, ibid. 307, 308 (2003).
16. P. Krüger and P. Schuck, Europhys. Lett. 27, 395 (1994); J. G. Hirsch, A. Mariano, J. Dukelsky, and P. Schuck, Ann. Phys. (N.Y.) 296, 187 (2002); A. Storozhenko, P. Schuck, J. Dukelsky, G. Röpke, and A. Vdovin, ibid. 307, 308 (2003).
17. P. Krüger and P. Schuck, Europhys. Lett. 27, 395 (1994); J. G. Hirsch, A. Mariano, J. Dukelsky, and P. Schuck, Ann. Phys. (N.Y.) 296, 187 (2002); A. Storozhenko, P. Schuck, J. Dukelsky, G. Röpke, and A. Vdovin, ibid. 307, 308 (2003).
18. D. Delion, P. Schuck, and J. Dukelsky, nucl-th/0405002 (unpublish).
19. A. Rabhi, R. Bennaceur, G. Chanfray, and P. Schuck, Phys. Rev. C 66, 064315 (2002).
20. D. S. Schäfer and P. Schuck, Phys. Rev. B 59, 1712 (1999).
21. F. Aryasetiawan, T. Miyake, and K. Terakura, Phys. Rev. Lett. 88, 166401 (2002).
22. G. Seibold, F. Becca, and J. Lorenzana, Phys. Rev. B 67, 085108 (2003).
23. Y. M. Vilk, L. Chen, and A.-M. S. Tremblay, Phys. Rev. B 49, 13 267 (1994); Physica C 235-240, 2235 (1994); Y. M. Vilk and A.-M. S. Tremblay, J. Phys. I 7, 1309 (1997); S. Allen and A.-M. S. Tremblay, Phys. Rev. B 64, 075115 (2001); B. Kyung, J. S. Landry, and A.-M. S. Tremblay, ibid. 68, 174502 (2003).
24. Y. M. Vilk, L. Chen, and A.-M. S. Tremblay, Phys. Rev. B 49, 13 267 (1994); Physica C 235-240, 2235 (1994); Y. M. Vilk and A.-M. S. Tremblay, J. Phys. I 7, 1309 (1997); S. Allen and A.-M. S. Tremblay, Phys. Rev. B 64, 075115 (2001); B. Kyung, J. S. Landry, and A.-M. S. Tremblay, ibid. 68, 174502 (2003).
25. Y. M. Vilk, L. Chen, and A.-M. S. Tremblay, Phys. Rev. B 49, 13 267 (1994); Physica C 235-240, 2235 (1994); Y. M. Vilk and A.-M. S. Tremblay, J. Phys. I 7, 1309 (1997); S. Allen and A.-M. S. Tremblay, Phys. Rev. B 64, 075115 (2001); B. Kyung, J. S. Landry, and A.-M. S. Tremblay, ibid. 68, 174502 (2003).
26. Y. M. Vilk, L. Chen, and A.-M. S. Tremblay, Phys. Rev. B 49, 13 267 (1994); Physica C 235-240, 2235 (1994); Y. M. Vilk and A.-M. S. Tremblay, J. Phys. I 7, 1309 (1997); S. Allen and A.-M. S. Tremblay, Phys. Rev. B 64, 075115 (2001); B. Kyung, J. S. Landry, and A.-M. S. Tremblay, ibid. 68, 174502 (2003).
27. Y. M. Vilk, L. Chen, and A.-M. S. Tremblay, Phys. Rev. B 49, 13 267 (1994); Physica C 235-240, 2235 (1994); Y. M. Vilk and A.-M. S. Tremblay, J. Phys. I 7, 1309 (1997); S. Allen and A.-M. S. Tremblay, Phys. Rev. B 64, 075115 (2001); B. Kyung, J. S. Landry, and A.-M. S. Tremblay, ibid. 68, 174502 (2003).
28. D. Delion and P. Schuck (unpublished).
29. H. M. Sommermann, Ann. Phys. (N.Y.) 151, 163 (1983); D. Vautherin and N. Vinh Mau, Nucl. Phys. B 422 140 (1984); N. Vinh Mau and D. Vautherin, ibid. 445, 245 (1985).
30. H. M. Sommermann, Ann. Phys. (N.Y.) 151, 163 (1983); D. Vautherin and N. Vinh Mau, Nucl. Phys. B 422 140 (1984); N. Vinh Mau and D. Vautherin, ibid. 445, 245 (1985).
31. H. M. Sommermann, Ann. Phys. (N.Y.) 151, 163 (1983); D. Vautherin and N. Vinh Mau, Nucl. Phys. B 422 140 (1984); N. Vinh Mau and D. Vautherin, ibid. 445, 245 (1985).
32. M. Grasso and F. Catara, Phys. Rev. C 63, 014317 (2000).
33. D. Janssen and P. Schuck, Z. Phys. A 339, 34 (1991).
34. F. Catara, G. Piccitto, M. Sambataro, and N. Van Giai, Phys. Rev. B 54, 17536 (1996).
35. K. Tanaka and F. Marsiglio, Phys. Rev. B 60, 3508 (1999).
36. E. Altman and A. Auerbach, Phys. Rev. B 65, 104508 (2002).
37. A. Storozhenko and P. Schuck (unpublished).