Configuration-interaction approach to hole pairing in the two-dimensional hubbard model

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 21, 1999, Pages 14005-14016

  Guinea, F ^b   Lopez Sancho M P ^b   Verges J A ^b  

^a UNIVERSITY OF ALICANTE   (Spain)

^b INSTITUTO DE CIENCIA DE MATERIALES DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17044362754     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.14005     Document Type: Article

References (52)

1. A. P. Kampf, Phys. Rep. 249, 219 (1994).
2. D. J. Scalapino, Phys. Rep. 250, 329 (1995).
3. N. Bulut, D. J. Scalapino, and S. R. White, Phys. Rev. Lett. 72, 705 (1994).
4. R. Preuss, W. Hanke, and W. van der Linden, Phys. Rev. Lett. 75, 1344 (1995).
5. E. Dagotto, A. Nazarenko, and M. Boninsegni, Phys. Rev. Lett. 73, 728 (1994).
6. P. W. Leung and R. J. Gooding, Phys. Rev. B 52, R15 711 (1995).
7. D. Duffy, A. Nazarenko, S. Haas, A. Moreo, J. Riera, and E. Dagotto, Phys. Rev. B 56, 5597 (1997).
8. G. Fano, F. Ortolani, and A. Parola, Phys. Rev. B 42, 6877 (1990).
9. M. Boninsegni and E. Manousakis, Phys. Rev. B 47, 11 897 (1993).
10. D. Poilblanc, J. Riera, and E. Dagotto, Phys. Rev. B 49, 12 318 (1994).
11. E. Dagotto, Rev. Mod. Phys. 66, 763 (1994).
12. K. Kuroki and H. Aoki, cond-mat/9710019 (unpublished).
13. C. Gazza, G. B. Martins, J. Riera, and E. Dagotto, Phys. Rev. B 59, R709 (1999).
14. A. V. Dotsenko, Phys. Rev. B 57, 6917 (1998).
15. S. Zhang, J. Carlson, and J. E. Gubernatis, Phys. Rev. Lett. 78, 4486 (1997).
16. E. Louis, G. Chiappe, J. Galán, F. Guinea, and J. A. Vergés, Phys. Rev. B 48, 426 (1993).
17. E. Louis, G. Chiappe, F. Guinea, J. A. Vergés, and E. V. Anda, Phys. Rev. B 48, 9581 (1993).
18. E. Louis, F. Guinea, M. P. López-Sancho, and J. A. Vergés, Europhys. Lett. 44, 229 (1998).
19. G. Seibold, E. Sigmund, and V. Hizhnyakov, Phys. Rev. B 57, 6937 (1998).
20. G. Seibold, Phys. Rev. B 58, 15 520 (1998).
21. J. A. Vergés, E. Louis, P. S. Lomdahl, F. Guinea, and A. R. Bishop, Phys. Rev. B 43, 6099 (1991).
22. F. Guinea, E. Louis, and J. A. Vergés, Phys. Rev. B 45, 4752 (1992).
23. J. E. Hirsch, Phys. Rev. Lett. 59, 228 (1987).
24. A. Kampf and J. R. Schrieffer, Phys. Rev. B 41, 6399 (1990).
25. E. Dagotto and J. R. Schrieffer, Phys. Rev. B 43, 8705 (1991).
26. A. Auerbach, Interacting Electrons and Quantum Magnetism (Springer-Verlag, New York, 1994).
27. E. Louis, J. Galán, F. Guinea, J. A. Vergés, and J. Ferrer, Phys. Status Solidi B 173, 715 (1992).
28. A. Ramsak and P. Horsch, Phys. Rev. B 57, 4308 (1998).
29. B. Friedman and G. Levine, Phys. Rev. B 55, 9558 (1997).
30. S. R. White and D. J. Scalapino, Phys. Rev. B 55, 6504 (1997).
31. R. B. Laughlin, cond-mat/9709195(unpublished).
32. P. W. Anderson and G. Baskaran, cond-mat/9711197(unpublished).
33. R. Chitra and G. Kotliar, cond-mat/9811144(unpublished).
34. E. Dagotto and T. M. Rice, Science 271, 618 (1996).
35. E. W. Carlson, S. A. Kivelson, Z. Nussinov, and V. J. Emery, Phys. Rev. B 57, 14 704 (1998).
36. A. W. Sandvik, Phys. Rev. B 56, 11 678 (1997).
37. In the following we use parentheses to denote a single lattice vector (Formula presented) and curly brackets to refer to the full set of vectors (Formula presented).
38. G. Martínez and P. Horsch, Phys. Rev. B 44, 317 (1991).
39. Z. Liu and E. Manousakis, Phys. Rev. B 51, 3156 (1995).
40. B. M. Elrick and A. E. Jacobs, Phys. Rev. B 52, 10 369 (1995).
41. M. Vojta and K. W. Becker, Phys. Rev. B 57, 3099 (1998).
42. J. Altmann, W. Brenig, A. P. Kampf, and E. Müller-Hartmann, Phys. Rev. B 52, 7395 (1995).
43. G. Polatsek and K. W. Becker, Phys. Rev. B 55, 1408 (1997).
44. Note that at large U the ferromagnetic solution sets in. In Ref. 16 it was shown that the energy of two holes in a ferromagnetic (Formula presented) cluster could be fitted by (Formula presented). Comparing the present numerical results with this energy gives a transition to the ferromagnetic solution approximately at (Formula presented), for the cluster sizes investigated here.
45. M. Cyrot and D. Pavuna, Introduction to Superconductivity and High-(Formula presented) Materials (World Scientific, Singapore, 1992).
46. S. A. Trugman, Phys. Rev. B 37, 1597 (1988).
47. J. Riera and E. Dagotto, Phys. Rev. B 57, 8609 (1997).
48. Note that this result is obtained without including configurations which clearly favor it, such as that proposed in Ref. 47 in which the two holes lie on neighboring sites along a diagonal and a neighboring spin is flipped.
49. J. E. Hirsch, Phys. Rev. B 48, 3327 (1993).
50. J. Zaanen and O. Gunnarsson, Phys. Rev. B 40, 7391 (1989).
51. D. Poilblanc and T. M. Rice, Phys. Rev. B 39, 9749 (1989).
52. H. J. Schulz, Phys. Rev. Lett. 64, 1445 (1990).