Ground state phases of the half-filled one-dimensional extended Hubbard model

Physical Review Letters

Volumn 92, Issue 23, 2004, Pages

  Sandvik, Anders W ^a,b,c   Balents, Leon ^c   Campbell, David K ^a,d  

^a Boston University   (United States)

^b ÅBO AKADEMI UNIVERSITY   (Finland)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIMERS; GROUND STATE; HAMILTONIANS; MATHEMATICAL MODELS; PHASE DIAGRAMS; PHASE TRANSITIONS; QUANTUM THEORY;

BOND-ORDERED STATES; DIMERIZED STATE; HUBBARD MODEL; NEAREST-NEIGHBOR HOPPING;

MOLECULAR PHYSICS;

EID: 3242655716     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.92.236401     Document Type: Article

References (27)

1. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett, 20, 1445 (1968).
2. A. Luther and I. Peschel, Phys. Rev. B 12, 3908 (1975).
3. R. A. Bari, Phys. Rev. B 3, 2662 (1971).
4. V.J. Emery, in Highly Conducting One-Dimensional Solids, edited by J. T. Devreese, R. Evrand, and V. van Doren (Plenum, New York, 1979).
5. J. Sólyom, Adv. Phys. 28, 201 (1979).
6. J. E. Hirsch, Phys. Rev. Lett 53, 2327 (1984).
7. J.W. Cannon and E. Fradkin, Phys. Rev. B 41, 9435 (1990); J.W. Cannon, R.T. Scalettar, and E. Fradkin, Phys. Rev. B 44, 5995 (1991).
8. J.W. Cannon and E. Fradkin, Phys. Rev. B 41, 9435 (1990); J.W. Cannon, R.T. Scalettar, and E. Fradkin, Phys. Rev. B 44, 5995 (1991).
9. P.G. J. van Dongen, Phys. Rev. B 49, 7904 (1994).
10. J. Voit, Phys. Rev. B 45, 4027 (1992).
11. M. Nakamura, J. Phys. Soc. Jpn. 68, 3123 (1999); Phys. Rev. B 61, 16377 (2000).
12. M. Nakamura, J. Phys. Soc. Jpn. 68, 3123 (1999); Phys. Rev. B 61, 16377 (2000).
13. P. Sengupta, A.W. Sandvik, and D. K. Campbell, Phys. Rev. B 65, 155113 (2002).
14. A.W. Sandvik, P. Sengupta, and D. K. Campbell, Phys. Rev. Lett. 91, 089701 (2003).
15. M. Tsuchiizu and A. Furusaki, Phys. Rev. Lett. 88, 056402 (2002); Phys. Rev. B 69, 035103 (2004).
16. M. Tsuchiizu and A. Furusaki, Phys. Rev. Lett. 88, 056402 (2002); Phys. Rev. B 69, 035103 (2004).
17. E. Jeckelmann, Phys. Rev. Lett 89, 236401 (2002); 91, 089702 (2003).
18. E. Jeckelmann, Phys. Rev. Lett 89, 236401 (2002); 91, 089702 (2003).
19. O. F. Syljuåsen and AW. Sandvik, Phys. Rev. E 66, 046701 (2002).
20. K. Hukushima and K. Nemoto, J. Phys. Soc. Jpn. 65, 1604 (1996).
21. K. Okamoto and K. Nomura, Phys. Lett. A 169, 433 (1992).
22. J. Voit, Rep. Prog. Phys. 57, 977 (1994).
23. R. T. Clay, A. W. Sandvik, and D. K. Campbell, Phys. Rev. B 59, 4665 (1999).
24. 1maximum fluctuates slightly between runs, due to metastability at the strongly first-order transition. The parallel tempering scheme [11] overcomes this problem completely only for smaller L and/or smaller U. For U = 4 and 6, the results are reproducible for all L considered.
25. F. Woynarovich and H.-P. Eckle, J. Phys. A 20, L97 (1987).
26. S. Eggert, I. Affleck, and M. Takahashi, Phys. Rev. Lett. 73, 332 (1994).
27. S. Eggert, Phys. Rev. B 54, R9612 (1996).