Ground state of an antiferromagnetic Heisenberg spin system on a nontranslational lattice of dimension between one and two

Physical Review B - Condensed Matter and Materials Physics

Volumn 54, Issue 1, 1996, Pages 395-401

  Tomczak, P ^a   Ferchmin, A ^a  

^a ADAM MICKIEWICZ UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001008753     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.54.395     Document Type: Article

References (58)

1. E. Manousakis, Rev. Mod. Phys. 63, 1 (1991).
2. L.J. de Jongh and A.R. Miedema, Experiments on Simple Magnetic Model Systems (Taylor & Francis, London, 1974).
3. D. Stauffer, Phys. Rep. 54, 1 (1979).
4. Y. Gefen, A. Aharony, B.B. Mandelbrot and S. Kirkpatrick, Phys. Rev. Lett. 47, 1171 (1981).
5. S.E. Korshunov, R. Meyer and P. Martinoli, Phys. Rev. B 51, 5914 (1995) and references therein.
6. D. Yoshioka and J. Miyazaki, J. Phys. Soc. Jpn. 60, 614 (1991).
7. T. Aoki, J. Phys. Soc. Jpn. 62, 731 (1993).
8. R. Deutscher and H.U. Everts, Z. Phys. B 93, 77 (1993).
9. B. Bernu, P. Lecheminant, C. Lhuillier and L. Pierre, Phys. Rev. B 50, 10t048 (1994).
10. R. Chitra, Samathi Rao, Diptiman Sen and S. Suresh Rao, Phys. Rev. B 52, 1061 (1995).
11. D.A. Huse and V. Elser, Phys. Rev. Lett. 60, 2531 (1988).
12. R.R.P. Singh and D.A. Huse, Phys. Rev. B 40, 7247 (1989).
13. E. Dagotto and A. Moreo, Phys. Rev. B 38, 5087 (1988).
14. S. Tang and J.E. Hirsch, Phys. Rev. B 39, 4548 (1989).
15. T. Barnes and E.S. Swanson, Phys. Rev. B 37, 9405 (1988).
16. E. Manousakis and R. Salvador, Phys. Rev. Lett. 60, 840 (1988).
17. J.D. Reger and A.P. Young, Phys. Rev. B 37, 5978 (1988).
18. M. Gross, E. Sánchez-Velasco and E.D. Siggia, Phys. Rev. B 40, 11t328 (1989).
19. S. Liang, Phys. Rev. B 42, 6555 (1990).
20. Zheng Weihong, J. Oitmaa and C.J. Hamer, Phys. Rev. B 43, 8321 (1991).
21. H.Q. Lin and D.K. Campbell, Phys. Rev. Lett. 69, 2415 (1992).
22. S. Miyashita, J. Phys. Soc. Jpn. 53, 44 (1984).
23. Th. Jolicoeur and J.C. Le Guillou, Phys. Rev. B 40, 2727 (1989).
24. B. Bernu, C. Lhuillier and L. Pierre, Phys. Rev. Lett. 69, 2590 (1992).
25. S.J. Miyake, J. Phys. Soc. Jpn. 61, 983 (1988).
26. A. Mattson, P. Fröjdh and T. Einarsson, Phys. Rev. B 49, 3997 (1994) and references therein.
27. P. Sindzingre, P. Lecheminant and C. Lhuillier, Phys. Rev. B 50, 3108 (1994).
28. Chen Zeng and V. Elser, Phys. Rev. B 51, 8318 (1995).
29. R.R.P. Singh and D.A. Huse, Phys. Rev. Lett. 68, 1706 (1992).
30. I. Ritchey, P. Chandra and P. Coleman, Phys. Rev. B 47, 15t342 (1993).
31. Y.J. Uemura, A. Keren, K. Kojima, L.P. Le, G.M. Luke, W.D. Wu, Y. Ajiro, T. Asano, Y. Kuriyama, M. Mekata, H. Kikuchi and K. Kakurai, Phys. Rev. Lett. 73, 3306 (1994).
32. C.L. Henley and E.P. Chan, J. Magn. Magn. Mater. 140-144, 1693 (1995).
33. A.W. Sandvik and M. Vekić, Phys. Rev. Lett. 74, 1226 (1995).
34. K. Retzlaff and J. Richter, J. Low Temp. Phys. 99, 359 (1995).
35. M. Azzouz and B. Doucot, Phys. Rev. B 47, 8660 (1993).
36. V.N. Plechko and I.K. Sobolev, Physica A 197, 323 (1993).
37. Y. Gefen, B.B. Mandelbrot and A. Aharony, Phys. Rev. Lett. 45, 855 (1980).
38. Y. Gefen, Y. Meir, B.B. Mandelbrot and A. Aharony, Phys. Rev. Lett. 50, 145 (1983).
39. Y.K. Wu and B. Hu, Phys. Rev. A 35, 1404 (1987).
40. Y. Gefen, A. Aharony and B.B. Mandelbrot, J. Phys. A 17, 1277 (1984).
41. B. Bonnier, Y. Leroyer and C. Meyers, Phys. Rev. B 37, 5205 (1988).
42. G. Bhanot, H. Neuberger and J.A. Shapiro, Phys. Rev. Lett. 53, 2277 (1984).
43. B. Bonnier, Y. Leroyer and C. Meyers, J. Phys. (Paris) 48, 553 (1987).
44. B. Bonnier, Y. Leroyer and C. Meyers, Phys. Rev. B 40, 8961 (1989).
45. W. Jeżewski and P. Tomczak, Physica A 171, 209 (1991).
46. P. Tomczak and W. Jeżewski, Physica A 209, 275 (1994).
47. P. Tomczak, Phys. Rev. B 53, R500 (1996).
48. E.R. Gagliano, E. Dagotto, A. Moreo and F.C. Alcaraz, Phys. Rev. B 34, 1677 (1986).
49. H.Q. Lin, Phys. Rev. B 42, 6561 (1990).
50. C.E.I. Carneiro, X.J. Kong and R.H. Swendsen, Phys. Rev. B 49, 3303 (1994).
51. P. Tomczak and A.R. Ferchmin (unpublished).
52. P.W. Leung and V. Elser, Phys. Rev. B 47, 5459 (1993).
53. W.J. Caspers and G.I. Tielen, Physica A 135, 519 (1986).
54. H.U. Everts (private communication).
55. V. Elser, Phys. Rev. Lett. 62, 2405 (1989).
56. N. Elstner and A.P. Young, Phys. Rev. B 50, 6871 (1995).
57. T. Nakamura and S. Miyashita, Phys. Rev. B 52, 9174 (1995).
58. T. Stosić, B. Stosić, S. Milosević and H.E. Stanley, Phys. Rev. E 49, 1009 (1994).