Quasiexcitations and superconductivity in the model on a ladder

Physical Review B - Condensed Matter and Materials Physics

Volumn 57, Issue 21, 1998, Pages 13790-13799

  Ichinose, Ikuo ^a   Matsui, Tetsuo ^b  

^a UNIVERSITY OF TOKYO   (Japan)

^b KINKI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0542442712     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.57.13790     Document Type: Article

References (40)

1. For a review, see, E. Dagotto and T. M. Rice, Science 271, 618 (1996).
2. M. Uehara et. al J. Phys. Soc. Jpn. (to be published).
3. M. Sigrist, T. M. Rice, and F. C. Zhang, Phys. Rev. B 49, 12 058 (1994).
4. P. W. Anderson, Phys. Rev. Lett. 64, 1839 (1990).
5. L. B. Ioffe and A. I. Larkin, Phys. Rev. B 39, 8988 (1989).
6. I. Ichinose and T. Matsui, Nucl. Phys. B 394, 281 (1993).
7. I. Ichinose and T. Matsui, Phys. Rev. B 51, 11 860 (1995).
8. For explicit calculation of (Formula presented) see also I. Ichinose, T. Matsui, and K. Sakakibara, J. Phys. Soc. Jpn.67, 543 (1998).
9. H. Tsunetsugu, M. Troyer, and T. M. Rice, Phys. Rev. B 49, 16 078 (1994).
10. Phys. Rev. BH. TsunetsuguM. TroyerT. M. Rice 53, 251 (1996).
11. D. V. Khveshchenko, Phys. Rev. B 50, 380 (1994).
12. Phys. Rev. BD. G. Shelton, A. A. Nersesyan, and A. M. Tsvelik, 53, 8521 (1996).
13. I. Ichinose and T. Matsui, Phys. Rev. B 45, 9976 (1992).
14. H. Yamamoto, G. Tatara, I. Ichinose, and T. Matsui, Phys. Rev. B 44, 7654 (1991).
15. D. Senechal, Phys. Rev. B 52, 15 319 (1995).
16. G. Sierra, J. Phys. A 29, 3299 (1996).
17. S. Dell’Aringa, E. Ercolessi, G. Morandi, P. Pieri, and M. Roncaglia, Phys. Rev. Lett. 78, 2457 (1997). In these analyses, the idea of integrating out a half of the spin degrees of freedom was applied to the (Formula presented) spins (Formula presented) themselves. However, it cannot be extended to the doped case, in contrast with our treatment on the (Formula presented) variables.
18. N. Seiberg, Phys. Rev. Lett. 53, 637 (1984).
19. Phys. Rev. Lett.I. A. Affleck, 66, 2429 (1991).
20. A. S. Hassan, M. Imachi, N. Tsuzuki, and H. Yoneyama, Prog. Theor. Phys. 95, 175 (1995).
21. W. Bietenholz, A. Pochinsky, and U.-J. Wiese, Phys. Rev. Lett. 75, 4524 (1995).
22. A. DÁdda, P. Divecchia, and M. Lüscher, Nucl. Phys. B 146, 63 (1978).
23. Nucl. Phys. BI. Ya. Areféva and S. I. Azakov, 162, 298 (1980).
24. S. Coleman, Ann. Phys. (N.Y.) 101, 239 (1976).
25. J. des Cloizeaux and J. J. Pearson, Phys. Rev. 128, 2131 (1962).
26. M. Fabrizio, A. Parola, and E. Tosatti, Phys. Rev. B 46, 3159 (1992).
27. Phys. Rev. BM. Fabrizio, 48, 15 838 (1993).
28. Phys. Rev. BD. V. Khveshchenko and T. M. Rice, 50, 252 (1994).
29. Phys. Rev. BL. Balents and M. P. A. Fisher, 53, 12 133 (1996).
30. H. J. Schulz, Phys. Rev. B 53, R2959 (1996).
31. I. Ichinose and Y. Kayama, cond-mat/9711202, Nucl. Phys. B: Field Theory Stat. Syst. (to be published).
32. A. M. Polyakov, Phys. Lett. 72B, 477 (1978).
33. L. Susskind, Phys. Rev. D 20, 2610 (1979).
34. C. Holm, W. Janke, T. Matsui, and K. Sakakibara, Physica A 246, 633 (1997).
35. J. Schwinger, Phys. Rev. 128, 2425 (1962).
36. C. A. Hayward and D. Poiblanc, Phys. Rev. B 53, 11 721 (1996).
37. The condition (6.3) has appeared in Ref. 10 and been called the divergenceless condition. The pattern of order parameters (Formula presented) in the SF (Formula presented)-(Formula presented) model on a 2D lattice has been studied by the gap equation in G. Tatara and T. Matsui, Phys. Rev. B 44, 2867 (1991) and the flux phase formation of (Formula presented) for four links emerging from an odd site (Formula presented) is obtained, which correponds to the (Formula presented) symmetry. The product of (Formula presented) on 4 links around a plaquette is -1 in the flux phase, while +1 in the (Formula presented)-wave symmetry. In the two-leg ladder, the flux phase can be realized, e.g., by a configuration similar to the above 2D case, (Formula presented) for (Formula presented), (Formula presented) for (Formula presented), (Formula presented), (Formula presented). Such a configuration, however, does not minimize the (Formula presented) term of (Formula presented) of Eq. (6.6), reflecting the difference of a ladder and a 2D lattice; there are 3 and 4 NN sites, respectively. Although one needs a separate numerical study to support the present assumption like (Formula presented) which rules out the flux phase, the (Formula presented)-wave symmetry is a simple and very plausible possibility for the two-leg-ladder superconductivity.
38. I. Ichinose, T. Matsui, and K. Sakakibara (unpublished).
39. C. A. Hayward et. al Phys. Rev. Lett. 75, 926 (1995).
40. R. M. Noack, S. R. White, and D. J. Scalapino, Phys. Rev. Lett. 73, 882 (1994).