Gapped spin-liquid states in a one-dimensional Hubbard model with antiferromagnetic exchange interaction

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 6, 2004, Pages

  Dai, Jianhui ^a   Feng, Xiaoyong ^a   Xiang, Tao ^b   Yu, Yue ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BOSON; DENSITY; DIMERIZATION; LIQUID; MAGNETISM; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL;

EID: 19544387411     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.064518     Document Type: Article

References (37)

1. P. Fazekas and P.W. Anderson, Philos. Mag. 30, 423 (1974).
2. P.W. Anderson, Science 235, 1196 (1987).
3. T.C. Hsu, Phys. Rev. B 41, 11379 (1990).
4. R.B. Laughlin, e-print cond-mat/0209269.
5. F.C. Zhang, Phys. Rev. Lett. 90, 207002 (2003).
6. Y. Yu, e-print cond-mat/0211131.
7. J.Y. Gan, F.C. Zhang, and Z.B. Su, e-print cond-mat/0308398.
8. G. Chapline, Z. Nazario, and D.I. Santiago, e-print cond-mat/ 0309297.
9. D. Jerome, A. Mazaud, M. Ribault, and K. Bechgaard, J. Phys. (Paris), Lett. 41, L95 (1980).
10. G.I. Japaridze and E. Muller-Hartmann, Phys. Rev. B 61, 9019 (2000); C. Dziurzik, G.I. Japaridze, A. Schadchneider, and J. Zittartz, e-print cond-mat/0402405.
11. G.I. Japaridze and E. Muller-Hartmann, Phys. Rev. B 61, 9019 (2000); C. Dziurzik, G.I. Japaridze, A. Schadchneider, and J. Zittartz, e-print cond-mat/0402405.
12. R.A. Bari, Phys. Rev. B 3, 2662 (1971); J.E. Hirsch, Phys. Rev. Lett. 53, 2327 (1984); J.W. Cannon and E. Fradkin, Phys. Rev. B 41, 9435 (1990); J. Voit, ibid. 45, 4027 (1992); G.P. Zhang, ibid. 56, 9189 (1997).
13. R.A. Bari, Phys. Rev. B 3, 2662 (1971); J.E. Hirsch, Phys. Rev. Lett. 53, 2327 (1984); J.W. Cannon and E. Fradkin, Phys. Rev. B 41, 9435 (1990); J. Voit, ibid. 45, 4027 (1992); G.P. Zhang, ibid. 56, 9189 (1997).
14. R.A. Bari, Phys. Rev. B 3, 2662 (1971); J.E. Hirsch, Phys. Rev. Lett. 53, 2327 (1984); J.W. Cannon and E. Fradkin, Phys. Rev. B 41, 9435 (1990); J. Voit, ibid. 45, 4027 (1992); G.P. Zhang, ibid. 56, 9189 (1997).
15. R.A. Bari, Phys. Rev. B 3, 2662 (1971); J.E. Hirsch, Phys. Rev. Lett. 53, 2327 (1984); J.W. Cannon and E. Fradkin, Phys. Rev. B 41, 9435 (1990); J. Voit, ibid. 45, 4027 (1992); G.P. Zhang, ibid. 56, 9189 (1997).
16. R.A. Bari, Phys. Rev. B 3, 2662 (1971); J.E. Hirsch, Phys. Rev. Lett. 53, 2327 (1984); J.W. Cannon and E. Fradkin, Phys. Rev. B 41, 9435 (1990); J. Voit, ibid. 45, 4027 (1992); G.P. Zhang, ibid. 56, 9189 (1997).
17. M. Nakamura, J. Phys. Soc. Jpn. 68, 3123 (1999); Phys. Rev. B 61, 16377 (2000).
18. M. Nakamura, J. Phys. Soc. Jpn. 68, 3123 (1999); Phys. Rev. B 61, 16377 (2000).
19. P. Sengupta, A.W. Sandvik, and D.K. Campbell, Phys. Rev. B 65, 155113 (2002).
20. M. Tsuchiizu and A. Furusaki, Phys. Rev. Lett. 88, 056402 (2002).
21. It was found earlier that when the Hubbard repulsion is strong there is an instability both in the CDW and SDW phases of the half-filled CEHM within slave-boson framework, indicating the existence of a new and intermediate phase, see S. Caprara, M. Avignon and D.D. Sarma, Int. J. Mod. Phys. B 11, 2057 (1997).
22. M. Oshikawa, Phys. Rev. Lett. 84, 1535 (2000).
23. V.J. Emery, in Highly Conducting One-Dimensional Solids, edited by J. Devereese et al. (Plenum, New York, 1979), p. 247.
24. J. Solyom, Adv. Phys. 28, 201 (1979).
25. J. Voit, Rep. Prog. Phys. 57, 977 (1994).
26. A.O. Gogolin, A.A. Nersesyan, and A.M. Tsvelik, Bosonization and Strongly Correlated Systems (Cambridge University Press, New York, 1998).
27. R. J. Bursill, T. Xiang, and G. A. Gehring, J. Phys.: Condens. Matter 8, L583 (1996); X. Wang and T. Xiang, Phys. Rev. B 56, 5061 (1997); T. Xiang and X. Wang, in Density-Matrix Renormalization: A New Numerical Method in Physics, edited by I. Peschel et al. (Springer, New York, 1999), pp. 149-172.
28. R. J. Bursill, T. Xiang, and G. A. Gehring, J. Phys.: Condens. Matter 8, L583 (1996); X. Wang and T. Xiang, Phys. Rev. B 56, 5061 (1997); T. Xiang and X. Wang, in Density-Matrix Renormalization: A New Numerical Method in Physics, edited by I. Peschel et al. (Springer, New York, 1999), pp. 149-172.
29. R. J. Bursill, T. Xiang, and G. A. Gehring, J. Phys.: Condens. Matter 8, L583 (1996); X. Wang and T. Xiang, Phys. Rev. B 56, 5061 (1997); T. Xiang and X. Wang, in Density-Matrix Renormalization: A New Numerical Method in Physics, edited by I. Peschel et al. (Springer, New York, 1999), pp. 149-172.
30. R. Julien and F.D.M. Haldane, Bull. Am. Phys. Soc. 28, 34 (1983).
31. K. Okamoto and K. Nomura, Phys. Lett. A 169, 433 (1992).
32. X. Feng, Z. Xu, and J. Dai, J. Phys.: Condens. Matter 16, 4245 (2004).
33. M. Imada, J. Phys. Soc. Jpn. 60, 1877 (1991)); Physica C 185-189, 1421 (1991); Prog. Theor. Phys. Suppl. 133, 203 (1993).
34. M. Imada, J. Phys. Soc. Jpn. 60, 1877 (1991)); Physica C 185-189, 1421 (1991); Prog. Theor. Phys. Suppl. 133, 203 (1993).
35. M. Imada, J. Phys. Soc. Jpn. 60, 1877 (1991)); Physica C 185-189, 1421 (1991); Prog. Theor. Phys. Suppl. 133, 203 (1993).
36. M. Ogata, M.U. Luchini, and T.M. Rice, Phys. Rev. B 44, 12083 (1991).
37. D. Jerome, Science 252, 1509 (1991).