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Prog. Theor. Phys. Supplement No.145 (2002) pp. 176-181

[ Full Text PDF : FREE ACCESS (151K) ]

Quantum Phase Competition in Antiferromagnetic Spin-1 Ladders

Shoji Yamamoto,1 Tôru Sakai2 and Akihisa Koga3

1Department of Physics, Okayama University, Okayama 700-8530, Japan
2Department of Electronics, Tokyo Metropolitan Institute of Technology, Hino 191-0065, Japan
3Department of Applied Physics, Osaka University, Suita 565-0871, Japan

(Received December 25, 2001)

Abstract:

Motivated by recent chemical explorations into organic-radical-based higher-spin ladder systems, we study the ground-state properties of a wide class of antiferromagnetic spin-1 ladders. Numerical analysis featuring the level-spectroscopy technique reveals the rich phase diagram, correcting a preceding nonlinear-sigma-model prediction. A variational analysis well interprets the phase competition with particular emphasis on the re-entrant phase boundary on the way from single to coupled chains.


URL : http://ptp.ipap.jp/link?PTPS/145/176/
DOI : 10.1143/PTPS.145.176

[ Full Text PDF : FREE ACCESS (151K) ] Citation:


References:

  1. F. D. M. Haldane, Phys. Lett. 93A (1983), 464; Phys. Rev. Lett. 50 (1983), 1153[APS].
  2. J. P. Renard, M. Verdaguer, L. P. Regnault, W. A. C. Erkelens, J. Rossat-Mignod and W. G. Stirling, Europhys. Lett. 3 (1987), 945[CrossRef].
  3. I. Affleck, T. Kennedy, E. H. Lieb and H. Tasaki, Phys. Rev. Lett. 59 (1987), 799[APS]; Commun. Math. Phys. 115 (1988), 477[CrossRef].
  4. M. Hase, I. Terasaki and K. Uchinokura, Phys. Rev. Lett. 70 (1993), 3651[APS].
  5. M. Oshikawa, M. Yamanaka and I. Affleck, Phys. Rev. Lett. 78 (1997), 1984[APS].
  6. S. Yamamoto and T. Fukui, Phys. Rev. B 57 (1998), R14008[APS].
  7. E. Dagotto, J. Riera and D. Scalapino, Phys. Rev. B 45 (1992), R5744[APS].
  8. M. Azuma, Z. Hiroi, M. Takano, K. Ishida and Y. Kitaoka, Phys. Rev. Lett. 73 (1994), 3463[APS].
  9. M. Uehara, T. Nagata, J. Akimitsu, H. Takahashi, N. Môri and K. Kinoshita, J. Phys. Soc. Jpn. 65 (1996), 2764[JPSJ].
  10. E. Dagotto and T. M. Rice, Science 271 (1996), 618[Science].
  11. C. A. Hayward, D. Poilblanc and L. P. Lévy, Phys. Rev. B 54 (1996), R12649[APS].
  12. C. P. Landee, M. M. Turnbull, C. Galeriu, J. Giantsidis and F. M. Woodward, Phys. Rev. B 63 (2001), R100402[APS].
  13. K. Katoh, Y. Hosokoshi, K. Inoue and T. Goto, J. Phys. Soc. Jpn. 69 (2000) 1008[JPSJ].
  14. Y. Hosokoshi, Y. Nakazawa, K. Inoue, K. Takizawa, H. Nakano, M. Takahashi and T. Goto, Phys. Rev. B 60 (1999), 12924[APS].
  15. Y. Hosokoshi, K. Katoh, Y. Nakazawa, H. Nakano and K. Inoue, to be published in J. Am. Chem. Soc.
  16. G. Sierra, J. of Phys. A: Math. Gen. 29 (1996), 3299[IoP STACKS].
  17. I. Affleck, Nucl. Phys. B257 (1985), 397; ibid. B265 (1986) 409.
  18. R. S. Eccleston, T. Barnes, J. Brody and J. W. Johnson, Phys. Rev. Lett. 73 (1994), 2626[APS].
  19. M. A. Martin-Delgado, R. Shankar and G. Sierra, Phys. Rev. Lett. 77 (1996), 3443[APS].
  20. T. Fukui and N. Kawakami, Phys. Rev. B 57 (1998), 398[APS].
  21. A. Langari, M. Abolfath and M. A. Martin-Delgado, Phys. Rev. B 61 (2000), 343[APS].
  22. A. Parola and S. Sorella and Q. F. Zhong, Phys. Rev. Lett. 71 (1993), 4393[APS].
  23. S. R. White, R. M. Noack and D. J. Scalapino, Phys. Rev. Lett. 73 (1994), 886[APS].
  24. B. Frischmuth, B. Ammon and M. Troyer, Phys. Rev. B 54 (1996), R3714[APS].
  25. S. Todo, M. Matsumoto, C. Yasuda and H. Takayama, cond-mat/0107115[e-print arXiv].
  26. P. W. Anderson, Science 235 (1987), 1196
  27. T. M. Rice, S. Gopalan and M. Sigrist, Europhys. Lett. 23 (1993), 445[CrossRef].
  28. T. Sakai and S. Yamamoto, Phys. Rev. B 60 (1999), 4053[APS].
  29. M. P. Nightingale, Physica A 83 (1976), 561[CrossRef].
  30. K. Nomura and K. Okamoto, J. of Phys. A: Math. Gen. 27 (1994), 5773[IoP STACKS].
  31. S. Yamamoto, Phys. Rev. B 51 (1995), 16128[APS]; ibid. 52 (1995), 10170[APS].
  32. A. Kitazawa, J. of Phys. A: Math. Gen. 30 (1997), L285[IoP STACKS].
  33. R. R. P. Singh, M. P. Gelfand and D. A. Huse, Phys. Rev. Lett. 61 (1988), 2484[APS].
  34. A. Koga and N. Kawakami, Phys. Rev. 61 (2000), 6133[APS].
  35. A. J. Guttmann, in Phase Transitions and Critical Phenomena, ed. C. Domb and J. L. Lebowitz (Academic, New York, 1989), vol. 13.
  36. S. Yamamoto, Phys. Rev. B 55 (1997), 3603[APS].