Quantum phase transition in quasi-two-dimensional heisenberg antiferromagnet with single-ion anisotropy

Communications in Theoretical Physics

Volumn 47, Issue 1, 2007, Pages 171-180

  Ji, An Chun ^a   Tian, Guang Shan ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

Functional integration; Schwinger Boson representation; Single ion anisotropy; Spatially anisotropic Heisenberg model

Indexed keywords

EID: 33846860817     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/47/1/033     Document Type: Article

References (52)

1. H.A. Bethe, Z. Phys. 71 (1931) 205.
2. E.H. Lieb, T. Schultz, and D. Mattis, Ann. Phys. (N.Y.) 16 (1961) 407;
3. Affleck and E. Lieb, Lett. Math. Phys. 12 (1986) 57.
4. F. Haldane, Phys. Lett. A 93 (1983) 464;
5. Phys. Rev. Lett. 50 (1983) 1153.
6. R. Botet and R. Jullien, Phys. Rev. B 27 (1983) 613;
7. R. Botet, R. Jullien, and M. Kolb, ibid. 28 (1983) 3914;
8. Kolb, R. Botet, and T. Jullien, J. Phys. A 16 (1983) L673.
9. J.B. Pakinson and J.C. Bonner, Phys. Rev. B 32 (1985) 4703.
10. M.P. Nightingale and H.W. Blöte, Phys. Rev. B 33 (1986) 659.
11. C.Y. Pan and H.Q. Lin, IEEE Trans, on Magnetics, 31 (1995) 4139.
12. G. Gómez-Santos, Phys: Rev. Lett. 63 (1989) 790.
13. For an early review, see I. Affleck, J. Phys. Condens. Matter 1 (1989) 3047.
14. I. Affleck, T. Kennedy, E.H. Lieb, and H. Tasaki, Phys. Rev. Lett. 59 (1987) 799;
15. Commun. Math. Phys. 115 (1988) 477.
16. W.J.L. Buyers, R.M. Morra, R.L. Armstrong, M.J. Hogan, P. Gerlach, and K. Hirakawa, Phys. Rev. Lett. 56 (1986) 371;
17. R.M. Morra, W.J.L. Buyers, R.L. Armstrong, and K. Hirakawa, Phys. Rev. B 38 (1988) 543.
18. J.P. Renard, M. Verdaguer, L.P. Regnault, W.A.C. Erkelens, J. Rossat- Mignod, and W.G. Stirling, Europhys. Lett. 3 (1987) 945.
19. J.P. Renard, M. Verdaguer, L.P. Regnault, W.A.C. Erkelens, J. Rossat- Mignod, J. Ribas, W.G. Stirling, and C. Vettier, J. Appl. Phys. 63 (1988) 3538.
20. K. Katsumata, H. Hori, T. Takeuchi, M. Date, A. Yamagishi, and J.P. Renard, Phys. Rev. Lett. 63 (1989) 86.
21. Y. Ajiro, T. Goto, H. Kikuchi, T. Sakakibara, and T. Inami, Phys. Rev. Lett. 63 (1989) 1424.
22. F.J. Dyson, E.H. Lieb, and B. Simon, J. Stat. Phys. 18 (1978) 335.
23. E.J. Neves and J.F. Perez, Phys. Lett. A 114 (1986) 331.
24. T. Kennedy, E. Lieb, and B.S. Shastry, J. Stat. Phys. 53 (1988) 1019.
25. T. Sakai and M. Takahashi, J. Phys. Soc. Jpn. 58 (1989) 3131.
26. M. Azzouz and B. Doucot, Phys. Rev. B 47 (1993) 8660;
27. Azzouz, ibid. 48 (1993) 6163.
28. N. Katoh and M. Imada, J. Phys. Soc. Jpn. 62 (1993) 3728;
29. ibid. 63 (1994) 4529;
30. ibid. 64 (1995) 1437.
31. A. Koga and N. Kawakami, Phys. Rev. B 61 (2000) 6133.
32. Y.J. Kim and R.J. Birgeneau, Phys. Rev. B 62 (2000) 6378.
33. M. Matsumoto, G. Yasuda, S. Todo, and H. Takayama, Phys. Rev. B 65 (2002) 014407.
34. L. Capriotti and F. Becca, Phys. Rev. B 65 (2002) 092406.
35. Y.Q. Wang, G.S. Tian, and H.Q. Lin, Phys. Rev. B 67 (2003) 064408.
36. A.C. Ji and G.S. Tian, Commun. Theor. Phys. (Beijing, China) 45 (2006) 1137.
37. J. Jensen and A.R. Mackintosh, Rare Earth Magnetism, Clarendon, Oxford (1991).
38. T. Sakai and M. Takahashi, Phys. Rev. B 42 (1990) 4537;
39. J. Phys. Soc. Jpn. 62 (1993) 750.
40. L. Zhou and R.B. Tao, J. Phys. A: Math. Gen. 27 (1994) 5599.
41. L. Zhou and Y. Kawazoe, J. Phys. A: Math. Gen. 32 (1999) 6687.
42. W. Chen, K. Hida, and B.C. Sanctuary, Phys. Rev. B 67 (2003) 104401.
43. T. Sakai and K. Okamoto, Phys. Rev. B 65 (2002) 214403.
44. G.S. Tian and H.Q. Lin, Phys. Rev. B 70 (2004) 104412.
45. Y.Q. Wang, G.S. Tian, and H.Q. Lin, Phys. Rev. B 72 (2005) 024439.
46. G.S. Tian, J. Stat. Phys. 116 (2004) 629.
47. Anonymous referee reports to our previous work [35].
48. D.P. Arovas and A. Auerbach, Phys. Rev. B 38 (1988) 316.
49. A.E. Trumper, L.O. Manuel, C.J. Gazza, and H.A. Ceccatto, Phys. Rev. Lett. 78 (1997) 2216.
50. M.J. Quist, Phys. Rev. B 65 (2002) 024438.
51. N.D. Mermin and H. Wagner, Phys. Rev. Lett. 17 (1966) 1133.
52. D. Schmeltzer, R. Zeyher, and W. Hanke, Phys. Rev. B 33 (1986) 5141.