Time-dependent Gutzwiller theory of magnetic excitations in the Hubbard model

Physical Review B - Condensed Matter and Materials Physics

Volumn 69, Issue 15, 2004, Pages

  Seibold, G ^a   Becca, F ^b   Rubin, P ^c   Lorenzana, J ^d  

^a BRANDENBURG UNIVERSITY OF TECHNOLOGY   (Germany)

^b DEMOCRITOS NATIONAL SIMULATION CENTER   (Italy)

^c UNIVERSITY OF TARTU   (Estonia)

^d UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

FERROMAGNETIC MATERIAL;

ACCELERATION; ACCURACY; ARTICLE; CORRELATION FUNCTION; ENERGY; MAGNETISM; MODEL; MOLECULAR STABILITY; PHYSICAL PHASE; PLOTS AND CURVES; ROTATION; THEORY;

EID: 37649028868     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.69.155113     Document Type: Article

References (41)

1. M.C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963).
2. M.C. Gutzwiller, Phys. Rev. 134, A923 (1964); 137, A1726 (1965).
3. M.C. Gutzwiller, Phys. Rev. 134, A923 (1964); 137, A1726 (1965).
4. W. Metzner and D. Vollhardt, Phys. Rev. Lett. 59, 121 (1987); Phys. Rev. B 37, 7382 (1988).
5. W. Metzner and D. Vollhardt, Phys. Rev. Lett. 59, 121 (1987); Phys. Rev. B 37, 7382 (1988).
6. D. Vollhardt, Rev. Mod. Phys. 56, 99 (1984).
7. G. Seibold, C. Castellani, C. Di Castro, and M. Grilli, Phys. Rev. B 58, 13 506 (1998).
8. J. Lorenzana and G. Seibold, Phys. Rev. Lett. 89, 136401 (2002).
9. F. Gebhard, Phys. Rev. B 41, 9452 (1990).
10. C. Attaccalite and M. Fabrizio, Phys. Rev. B 68, 155117 (2003).
11. G. Kotliar and A.E. Ruckenstein, Phys. Rev. Lett. 57, 1362 (1986).
12. E. Arrigoni and G.C. Strinati, Phys. Rev. Lett. 71, 3178 (1993); Phys. Rev. B 52, 2428 (1995).
13. E. Arrigoni and G.C. Strinati, Phys. Rev. Lett. 71, 3178 (1993); Phys. Rev. B 52, 2428 (1995).
14. M. Lavagna, Phys. Rev. B 41, 142 (1990).
15. J.W. Rasul and T. Li, J. Phys. C 21, 5119 (1988).
16. R. Raimondi and C. Castellani, Phys. Rev. B 48, R11 453 (1993).
17. R. Raimondi, Phys. Rev. B 51, 10 154 (1995).
18. R. Raimondi (private communication).
19. G. Seibold and J. Lorenzana, Phys. Rev. Lett. 86, 2605 (2001).
20. G. Seibold, F. Becca, and J. Lorenzana, Phys. Rev. B 67, 085108 (2003).
21. D.J. Thouless, Nucl. Phys. 22, 78 (1961).
22. K. Yonemitsu, I. Batistić, and A.R. Bishop, Phys. Rev. B 44, 2652 (1991); K. Yonemitsu, A.R. Bishop, and J. Lorenzana, ibid. 47, 12 059 (1993).
23. K. Yonemitsu, I. Batistić, and A.R. Bishop, Phys. Rev. B 44, 2652 (1991); K. Yonemitsu, A.R. Bishop, and J. Lorenzana, ibid. 47, 12 059 (1993).
24. J. Lorenzana and G. Seibold, Phys. Rev. Lett. 90, 066404 (2003).
25. J. Bünemann, J. Phys.: Condens. Matter 13, 5321 (2001).
26. W. Zimmermann, R. Frésard, and P. Wölfle, Phys. Rev. B 56, 10 097 (1997).
27. T. Li, P. Wölfle, and P.J. Hirschfeld, Phys. Rev. B 40, 6817 (1989) ; R. Frésard and P. Wölfle, Int. J. Mod. Phys. B 6, 237 (1992).
28. T. Li, P. Wölfle, and P.J. Hirschfeld, Phys. Rev. B 40, 6817 (1989) ; R. Frésard and P. Wölfle, Int. J. Mod. Phys. B 6, 237 (1992).
29. M. Bak and R. Micnas, J. Phys.: Condens. Matter 10, 9029 (1998).
30. G. Seibold, E. Sigmund, and V. Hizhnyakov, Phys. Rev. B 57, 6937 (1998).
31. G. Seibold, Phys. Rev. B 58, 15 520 (1998).
32. P. Ring and P. Schuck, The Nuclear Many-body Problem (Springer-Verlag, New York, 1980).
33. J. Blaizot, G. Ripka Quantum Theory of Finite Systems (MIT Press, Cambridge, 1986).
34. For Hubbard clusters with broken symmetry typical system sizes are ∼100-200 lattice sites. For periodic solutions the formalism can be also applied in momentum space with the standard Green function approach (as in Sec. III B), which allows us to treat infinite systems.
35. P. Fazekas, B. Menge, and E. Müller-Hartmann, Z. Phys. B: Condens. Matter 78, 69 (1990).
36. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1965).
37. J.E. Hirsch, Phys. Rev. B 31, 4403 (1985); S.R. White, D.J. Scalapino, R.L. Sugar, E.Y. Loh, J.E. Gubernatis, and R.T. Scalettar, ibid. 40, 506 (1989).
38. J.E. Hirsch, Phys. Rev. B 31, 4403 (1985); S.R. White, D.J. Scalapino, R.L. Sugar, E.Y. Loh, J.E. Gubernatis, and R.T. Scalettar, ibid. 40, 506 (1989).
39. E. Manousakis, Rev. Mod. Phys. 63, 1 (1991).
40. J.E. Hirsch and S. Tang, Phys. Rev. Lett. 62, 591 (1989).
41. E. Dagotto, Rev. Mod. Phys. 66, 763 (1994).