Improved finite-lattice estimates of the properties of two quantum spin models on the infinite square lattice

Canadian Journal of Physics

Volumn 77, Issue 5, 1999, Pages 353-368

  Betts, D D ^a   Lin, H Q ^b   Flynn, J S ^a  

^a DALHOUSIE UNIVERSITY   (Canada)

^b CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006943930     PISSN: 00084204     EISSN: None     Source Type: Journal    
DOI: 10.1139/p99-041     Document Type: Article

References (45)

1. J. Oitmaa and D. D. Betts. Can. J. Phys. 56, 897 (1978).
2. T. Barnes. J. Mod. Phys. C, 2, 659 (1991).
3. E. Manousakis. Rev. Mod. Phys. 63, 1 (1991).
4. E. Dagotto. Rev. Mod. Phys. 66, 763 (1994).
5. O. Haan, J.-U. Klaetke, and K.-H. Mütter. Phys. Rev. B: Condens. Matter, 46, 5723 (1992).
6. D.D. Betts, S. Masui, N. Vats, and G.E. Stewart. Can. J. Phys. 74, 54 (1996).
7. J.N. Lyness, T. Sorevik, and P. Keast. Math. Comp. 56, 243 (1991).
8. G.E. Stewart, D.D. Betts, and J.S. Flynn. J. Phys. Soc. Jpn. 66(10), 3231 (1997).
9. D.D. Betts, J. Schulenburg, G.E. Stewart, J. Richter, and J.S. Flynn. J. Phys. A: Math. Gen. 31, 7685 (1998).
10. T. Kennedy, E.H. Lieb, and B.S. Shastry. Phys. Rev. Lett. 61, 2582 (1988).
11. K. Kubo and T. Kishi. Phys. Rev. Lett. 61, 2585 (1988).
12. C. Lanczos. J. Res. Nat. Bur. Standards, 45, 255 (1950).
13. C.C. Paige. J. Inst. Math Appl. 10, 373 (1972).
14. H.-Q. Lin. Phys. Rev. B: Condens. Matter, 42, 6561 (1990).
15. P. Horsch and W. von der Linden. Z. Phys. B: Condens. Matter, 72, 181 (1988).
16. H. Neuberger and T.A.L. Ziman. Phys. Rev. B: Condens. Matter, 39, 2608 (1989).
17. D.S. Fisher. Phys. Rev. B: Condens. Matter, 39, 11 783 (1989).
18. P. Hasenfratz and F. Niedermayer. Z. Phys. B: Condens. Matter, 92, 91 (1993).
19. H.J. Schultz, T.A.L. Ziman, and D. Poilblanc. J. Phys. I. (Paris), 6, 675 (1996).
20. D. Vaknin, S.K. Sinka, D.E. Moncton, D.C. Johnston, J.M. Newsam, C.R. Satinya, and H.E. King. Phys. Rev. Lett. 58, 2802 (1987).
21. M. Greven et al. Phys. Rev. Lett. 72, 1096 (1994).
22. P.R. Hammar, D.C. Dender, and D.H. Reich. J. Appl. Phys. 81, 4615 (1997).
23. M. Suzuki and S. Miyashita. Can. J. Phys. 56, 902 (1978).
24. T. Aoke. J. Phys. Soc. Jpn. 61, 2909 (1992).
25. T. Tamarabuchi and M. Ishikawa. Phys. Rev. B: Condens. Matter, 43, 1283 (1991).
26. H.-Q. Ding. Phys. Rev. B: Condens. Matter. 45, 230 (1992).
27. S. Zhang and K.J. Runge. Phys. Rev. B: Condens. Matter, 45, 1052 (1992).
28. A.W. Sandvik and C.J. Hamer. Preprint, 1999.
29. D.J.J. Farnell, S.E. Krüger, and J.B. Parkinson. J. Phys.: Condens. Matter, 9, 7601 (1997).
30. C.J. Hamer, J. Oitmaa, and Z. Weihong. Phys. Rev. B: Condens. Matter, 43, 10789 (1991).
31. C.J. Hamer, T. Hövelborn, and M. Bachhuber. J. Phys. A: Math. Gen. 32, 51 (1999).
32. S. Liang, B. Doucet, and P.W. Anderson. Phys. Rev. Lett. 61, 365 (1998).
33. D.A. Huse and V. Elser. Phys. Rev. Lett. 60, 2531 (1988).
34. C. Zeng, D.J.J. Farnell, and R.F. Bishop. J. Stat. Phys. 90, 327 (1998).
35. K.J. Runge. Phys. Rev. B: Condens. Matter, 45, 7229 (1992).
36. K.J. Runge. Phys. Rev. B: Condens. Matter, 45 12 292 (1992).
37. A.W. Sandvik. Phys. Rev. B: Condens. Matter. 56, 11 678 (1997).
38. M.C. Buonaura and S. Sorella. Phys. Rev. B: Condens. Matter. 57, 11 446 (1998).
39. C.J. Hamer, Z. Weighong, and P. Arndt. Phys. Rev. B: Condens. Matter, 46, 6276 (1992).
40. Z. Weihong and C.J. Hamer. Phys. Rev. B: Condens. Matter, 47, 7961 (1993).
41. Z. Weihong, J. Oitmaa, and C.J. Hamer. Phys. Rev. B: Condens. Matter, 52, 10278 (1995).
42. R.R.P. Singh. Phys. Rev. B: Condens. Matter. 39, 9760 (1989).
43. U.-J. Wiese and H.-P. Ying. Z. Phys. B: Condens. Matter, 93, 147 (1994).
44. C.J. Hamer and Z. Weighong and J. Oitmaa. Phys. Rev. B: Condens. Matter, 50, 6877 (1994).
45. M.S. Makivic and H.-Q. Ding. Phys. Rev. B: Condens. Matter, 43, 3562 (1991).