Phase separation in the two-dimensional Hubbard model: A fixed-node quantum Monte Carlo study

Physical Review B - Condensed Matter and Materials Physics

Volumn 58, Issue 22, 1998, Pages R14685-R14688

  Cosentini, A ^a   Capone, M ^a   Guidoni, L ^a   Bachelet, G ^a  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000278478     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.58.R14685     Document Type: Article

References (31)

1. M. Grilli, R. Raimondi, C. Castellani, C. Di Castro, and G. Kotliar, Phys. Rev. Lett. 67, 259 (1991).
2. C. Di Castro and M. Grilli, Phys. Scr. 45, 81 (1992), and references therein.
3. V. J. Emery and S. A. Kivelson, Physica C 209, 597 (1993).
4. E. Dagotto, A. Moreo, F. Ortolani, D. Poilblanc, and J. Riera, Phys. Rev. B 45, 10 741 (1992).
5. C. Castellani, C. Di Castro, and M. Grilli, Phys. Rev. Lett. 75, 4650 (1995).
6. J. D. Jorgensen, B. Dabrowski, Shiyon Pei, D. G. Hinks, L. Soderholm, B. Morosin, J. E. Schirber, E. L. Venturini, and D. S. Ginley, Phys. Rev. B 38, 11 337 (1988).
7. F. C. Chou et. al Phys. Rev. B 54, 572 (1996).
8. J. M. Tranquada, B. J. Sternleb, J. D. Axe, Y. Nakamura, and S. Uchida, Nature (London) 375, 561 (1995).
9. A. Bianconi, N. L. Saini, A. Lanzara, M. Missori, T. Rossetti, H. Oyanagi, H. Yamaguchi, K. Oka, and T. Ito, Phys. Rev. Lett. 76, 3412 (1996).
10. V. J. Emery, S. A. Kivelson, and H. Q. Lin, Phys. Rev. Lett. 64, 475 (1990).
11. C. S. Hellberg and E. Manousakis, Phys. Rev. Lett. 78, 4609 (1997).
12. C. T. Shih, Y. C. Chen, and T. K. Lee, Phys. Rev. B 57, 627 (1998).
13. Gang Su, Phys. Rev. B 54, R8281 (1996).
14. H. J. M. van Bemmel, D. F. B. ten Haaf, W. van Saarloos, J. M. J. van Leeuwen, and G. An, Phys. Rev. Lett. 72, 2442 (1994).
15. D. F. B. ten Haaf, H. J. M. van Bemmel, J. M. J. van Leeuwen, W. van Saarloos, and D. M. Ceperley, Phys. Rev. B 51, 13 039 (1995).
16. M. Boninsegni, Phys. Rev. B 52, 15 304 (1995).
17. M. BoninsegniPhys. Lett. A 216, 313 (1996).
18. O. Gunnarsson, E. Koch, and R. M. Martin, Phys. Rev. B 54, R11 026 (1996).
19. Phys. Rev. BO. GunnarssonE. KochR. M. Martin56, 1146 (1997).
20. Phys. Rev. BF. Aryasetiawan, O. Gunnarsson, E. Koch, and R. M. Martin, 55, 10 165 (1997).
21. J. B. Anderson, J. Chem. Phys. 63, 1499 (1975).
22. D. M. Ceperley, Physica B & C 108, 875 (1981).
23. M. Calandra Buonaura and S. Sorella, Phys. Rev. B 57, 11 446 (1998).
24. A. Parola, S. Sorella, S. Baroni, R. Car, M. Parrinello, and E. Tosatti, Physica C 162-164, 771 (1989).
25. A. Parola, S. Sorella, M. Parrinello, and E. Tosatti, Phys. Rev. B 43, 6190 (1991).
26. Shiwei Zhang, J. Carlson, and J. E. Gubernatis, Phys. Rev. Lett. 74, 3652 (1995).
27. Q. F. Zhong and S. Sorella, Europhys. Lett. 21, 629 (1993).
28. This term was proposed long ago by Takahashi, J. Phys. C 10, 1289 (1977).
29. the resulting large-(Formula presented) expansion agrees remarkably well, for U⩾10, with the more recent results of G. Polatsek and K. W. Becker, Phys. Rev. B 54, 1637 (1996).
30. The Gutzwiller-Slater wave function, a very popular choice for the Hubbard model, suffers from at least two drawbacks (which probably reflect into the “quality” of its nodes): it does not describe a spin singlet and it only has on-site correlations; we are presently trying out more general forms, such as those proposed by T. Giamarchi and C. Lhuillier, Phys. Rev. B 42, 10 641 (1990).
31. In a finite L×L lattice even for (Formula presented) the energy of a tight-binding system would show an artificial phase separation at (Formula presented), due to the high degeneracy at the Fermi level: see H. Q. Lin, Phys. Rev. B 44, 7151 (1991).