Magnetic properties of exactly solvable doubly decorated ising-heisenberg planar models

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 17, 2002, Pages 1-7

  Strečka, Jozef ^a   Jaščur, Michal ^a  

^a P J AFÁRIK UNIVERSITY   (Slovakia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85038287402     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.174415     Document Type: Article

References (54)

1. W. Heisenberg, Z. Phys. 49, 619 (1928).
2. W. Lenz, Z. Phys. 21, 613 (1925);
3. Z. Phys.E. Ising, 31, 253 (1925).
4. F.D.M. Haldane, Phys. Rev. A 93A, 464 (1983);
5. F.D.M. HaldanePhys. Rev. Lett. 50, 1153 (1983).
6. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
7. M. Hase, I. Terasaki, and K. Uchinokura, Phys. Rev. Lett. 70, 3651 (1993);
8. J.H. Taylor and G. Müller, Physica A 130, 1 (1985);
9. K. Okamoto and K. Yasumura, J. Phys. Soc. Jpn. 59, 993 (1990);
10. J. Phys. Soc. Jpn.K. Okamoto, 59, 4286 (1990);
11. K. Okamoto, Solid State Commun. 83, 1039 (1992).
12. J. Richter, Phys. Rev. B 47, 5794 (1993);
13. Phys. Rev. BJ. Oitmaa and Z. Weihong, 54, 3022 (1996);
14. Phys. Rev. BR.F. Bishop, D.J.J. Farnell, and J.B. Parkinson, 58, 6394 (1998);
15. Phys. Rev. BV.N. Kotov, J. Oitmaa, O.P. Sushkov, and Z. Weihong, 60, 14613 (1999);
16. L. Capriotti and S. Sorella, Phys. Rev. Lett. 84, 3173 (2000).
17. X. Wang, Phys. Lett. A 281, 101 (2001).
18. K. Hida, J. Phys. Soc. Jpn. 63, 2359 (1994);
19. K. Okamoto, Solid State Commun. 98, 195 (1996);
20. M. Oshikawa, M. Yamanaka, and I. Affleck, Phys. Rev. Lett. 78, 1984 (1997);
21. K. Okamoto and A. Kitazawa, J. Phys. A 32, 4601 (1999);
22. A. Kitazawa and K. Okamoto, J. Phys.: Condens. Matter 11, 9765 (1999).
23. A. Aharony, R.J. Birgeneau, A. Coniglio, M.A. Kastner, and H.E. Stanley, Phys. Rev. Lett. 60, 1330 (1988);
24. Phys. Rev. Lett.K.B. Lyons, P.A. Fleury, L.F. Schneemeyer, and J. Waszczak, 60, 732 (1988);
25. Phys. Rev. Lett.J.M. Tranquada, D.E. Cox, W. Kunnmann, H. Moudden, G. Shirane, M. Suenaga, P. Zolliker, D. Vaknin, S.K. Sinha, M.S. Alvarez, A.J. Jacobson, and D.C. Johnston, 60, 156 (1988);
26. Phys. Rev. Lett.J.H. Brewer, E.J. Ansaldo, J.F. Carolan, A.C.D. Chaklader, W.N. Hardy, D.R. Harshman, M.E. Hayden, M. Ishikawa, N. Kaplan, R. Keitel, J. Kempton, R.F. Kiefl, W.J. Kossler, S.R. Kreitzman, A. Kulpa, Y. Kuno, G.M. Luke, H. Miyatake, K. Nagamine, Y. Nakazawa, N. Nishida, K. Nishiyama, S. Ohkuma, T.M. Riseman, G. Roehmer, P. Schleger, D. Shimada, C.E. Stronach, T. Takabatake, Y.J. Uemura, Y. Watanabe, D. Ll. Williams, T. Yamazaki, and B. Yang, 60, 1073 (1988);
27. S. Chakravarty, B.I. Halperin, and D.R. Nelson, Phys. Rev. B 39, 2344 (1989).
28. H.A. Bethe, Z. Phys. 71, 205 (1931);
29. R.L. Orbach, Phys. Rev. 112, 309 (1958);
30. Phys. Rev.L.R. Walker, 116, 1089 (1959);
31. J.C. Bonner and M.E. Fisher, Phys. Rev. A 135, 640 (1964);
32. Phys. Rev. AC.N. Yang and C.P. Yang, 150, 321 (1966);
33. Phys. Rev. AC.N. Yang, C.P. Yang151, 258 (1966);
34. J. des Cloizeaux and M. Gaudin, J. Math. Phys. 7, 1384 (1966).
35. J. Mielnicki, G. Wiatrowski, and T. Balcerzak, J. Magn. Magn. Mater. 71, 186 (1988);
36. T. Idogaki and N. Uryu, Physica A 181, 173 (1992);
37. G.S. Rushbrooke, G.A Baker, and P.J. Wood, in Phase Transition and Critical Phenomena, edited by C. Domb and M.S. Green (Academic Press, New York, 1974);
38. A.M. Polyakov, Phys. Lett. 59B, 79 (1975);
39. A.A. Migdal, Zh. Éksp. Teor. Fiz. 69, 810 (1975) [Sov. Phys. JETP 42, 413 (1975)];
40. E. Brézin and J. Zinn-Justin, Phys. Rev. Lett. 36, 691 (1976).
41. I. Syozi, Prog. Theor. Phys. 6, 341 (1951);
42. I. Syozi, in Phase Transition and Critical Phenomena, edited by C. Domb and M.S. Green (Academic Press, New York, 1972).
43. M. Fisher, Phys. Rev. 113, 969 (1959).
44. M. Ohba and H. O’kawa, Coord. Chem. Rev. 198, 313 (2000);
45. S. Ferlay, T. Mallah, J. Vaissermann, F. Bartolomé, P. Veillet, and M. Verdauger, Chem. Commun. 1996, 2481 (1996);
46. M. Re, R. Crescenzi, C. Floriani, H. Miyasaka, and N. Matsumoto, Inorg. Chem. 37, 2717 (1998);
47. Z. Trévnícek, Z. Smékal, A. Escuer, and J. Marek, New J. Chem. 25, 655 (2001);
48. H.O. Stumpf, Yu Pei, O. Kahn, J. Stellen, and J.P. Renard, J. Am. Chem. Soc. 115, 6738 (1993);
49. J. Leandri, Y. Leroyer, S.V. Meshkov, Y. Meurdesoif, O. Kahn, B. Mombelli, and D. Price, J. Phys.: Condens. Matter 8, L271 (1996).
50. N. Matsudaira, J. Phys. Soc. Jpn. 35, 1593 (1973);
51. R. Honmura and T. Kaneyoshi, J. Phys. C 12, 3979 (1979);
52. A. Zagórski, Phys. Lett. 99A, 247 (1973);
53. J. Mielnicki, T. Balcerzak, V.H. Throung, G. Wiatrowski, and L. Wojtczak, J. Magn. Magn. Mater. 71, 186 (1988).
54. J. Lu, W.T.A. Harrison, and A.J. Jacobson, Chem. Commun. 1996, 399 (1996).