Spin-glass and antiferromagnet critical behavior in a diluted fcc antiferromagnet

Physical Review B - Condensed Matter and Materials Physics

Volumn 53, Issue 10, 1996, Pages 6543-6553

  Wengel, Carsten ^a   Henley, Christopher L ^b  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b Department of Population Medicine and Diagnostic Sciences   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2842573865     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.53.6543     Document Type: Article

References (50)

1. T. M. Giebultowicz, J. J. Rhyne, W. Y. Ching, D. L. Huber and J. K. Furdyna, J. Appl. Phys. 63, 3279 (1988).
2. J. K. Furdyna and N. Samarth, J. Appl. Phys. 61, 3526 (1987).
3. G. S. Grest and E. G. Gabl, Phys. Rev. Lett. 43, 1182 (1979).
4. M. K. Phani, J. L. Lebowitz and M. H. Kalos, Phys. Rev. B 21, 4027 (1980).
5. T. L. Polgreen, Phys. Rev. B 29, 1468 (1984).
6. M. D. Mackenzie and A. P. Young, J. Phys. C 14, 3927 (1981).
7. See also J. Slawny, J. Stat. Phys. 20, 711 (1979) and K. Kawasaki, K. Tanaka, C. Hamamura, and R. A. Tahir-Kheli, Phys. Rev. B 45, 5321 (1992).
8. D. F. Styer, Phys. Rev. B 32, 393 (1985).
9. T. M. Giebultowicz, P. Kłosowsky, N. Samarth, H. Luo, J. K. Furdyna and J. J. Rhyne, Phys. Rev. B 48, 12t817 (1993).
10. T. M. Giebultowicz, P. Kłosowsky, N. Samarth, H. Luo, J. J. Rhyne and J. K. Furdyna, Phys. Rev. B 42, 2582 (1990).
11. S. P. McAlister, J. K. Furdyna and W. Giriat, Phys. Rev. B 29, 1310 (1984).
12. S. Geschwind, A. T. Ogielski, G. Devlin, J. Hegarty and P. Bridenbaugh, J. Appl. Phys. 63, 3291 (1988).
13. R. R. Galazka, S. Nagata and P. H. Keesom, Phys. Rev. B 22, 3344 (1980).
14. Y. Zhou, C. Rigeaux, A. Mycielski, M. Merant and N. Bontemps, Phys. Rev. B 40, 8111 (1989).
15. A. Mauger, J. Villain, Y. Zhou, C. Rigeaux, N. Bontemps and J. Férré, Phys. Rev. B 41, 4587 (1990).
16. S. Geschwind, D. A. Huse and G. E. Devlin, Phys. Rev. B 41, 4854 (1990).
17. B. LeClercq, C. Rigaux, A. Mycielski and M. Menant, Phys. Rev. B 47, 6169 (1993).
18. A. Mauger, J. Férré and P. Beauvillain, Phys. Rev. B 40, 862 (1989).
19. C. L. Henley, Phys. Rev. Lett. 62, 2056 (1989).
20. T. M. Giebultowicz, J. Magn. Magn. Mater. 54-57, 1287 (1986).
21. A. Danielian, Phys. Rev. Lett. 6, 670 (1964).
22. J. Villain, Z. Phys. B 33, 31 (1979).
23. A renormalization-group approach could be formulated with a Landau-Ginzburg effective free energy as a function of the order-parameter field (Formula presented). The fact that in a particular ordered configuration, only one of the ordering wave vectors can be present, translates to a "cubic" anisotropy in order-parameter space favoring the three coordinate axes. This implies a first-order phase transition [see D. J. Wallace, J. Phys. C 6, 1390 (1973)].
24. K. Binder, J. L. Lebowitz, M. K. Phani and M. H. Kalos, Acta Metall. 29, 1655 (1981).
25. P. Bak, S. Krinsky and D. Mukamel, Phys. Rev. Lett. 36, 52 (1976).
26. See also D. Mukamel and S. Krinsky, Phys. Rev. B 13, 5065 (1976).
27. and S. A. Brazovskii, I. E. Dzyaloshinskii and B. G. Kukharenko, Zh. Éksp. Teor. Fiz. 70, 2257 (1976) [Sov. Phys. JETP 43, 1176 (1976)].
28. J. F. Fernandez, Europhys. Lett. 5, 129 (1988).
29. J. F. Fernandez, H. A. Farach, C. P. Poole and M. Puma, Phys. Rev. B 27, 4274 (1983).
30. A. N. Berker, J. Appl. Phys. 70, 5941 (1991).
31. indeed, such a point is observed in the Potts model [see S. Chen, A. M. Ferrenberg and D. P. Landau, Phys. Rev. Lett. 69, 1213 (1992).
32. and compare also W. G. Wilson, Phys. Lett. A 137, 398 (1989)].
33. Y. Shnidman and D. Mukamel, Phys. Rev. B 30, 384 (1984).
34. J. W. Essam, in Phase Transitions and Critical Phenomena, edited by C. Domb and M. Green (Academic, New York, 1971), Vol. II.
35. This situation is similar to the problem of propagating order in, e.g., the three-state Potts antiferromagnet on a triangular lattice, where a single chain of bonds is insufficient to force the relationship between two clusters [see J. Adler, R. G. Palmer and H. Meyer, Phys. Rev. Lett. 58, 882 (1987).
36. and H. Fried and M. Schick, Phys. Rev. B 41, 4389 (1990)]. However, that problem is unfrustrated, in that the restriction of a pure system ground state to the sites of the diluted system is always one of the valid ground states; this is not true for a frustrated system such as the fcc antiferromagnet (compare Ref. 30) owing to its frustration and this complicates the propagation of order.
37. R. N. Bhatt and A. P. Young, Phys. Rev. B 37, 5606 (1988).
38. E. Marinetti, G. Parisi and F. Ritort, J. Phys. A 27, 2687 (1994).
39. R. E. Hetzel, R. N. Bhatt, and R. R. P. Singh, Europhys. Lett. 22, 383 (1993).
40. S. Shapira, L. Klein, J. Adler, A. Aharony and A. B. Harris, Phys. Rev. B 49, 8830 (1994).
41. L. Bernardi and I. Campbell, Phys. Rev. B 49, 728 (1994).
42. A. J. Bray and S. C. Feng, Phys. Rev. B 36, 8456 (1987).
43. R. N. Bhatt and A. P. Young, Phys. Rev. Lett. 54, 924 (1985).
44. G. A. Geist et. al PVM 3 Users Guide and Reference Manual (Oak Ridge National Laboratory, Oak Ridge, Tennessee, 1993).
45. J. Lee and J. M. Kosterlitz, Phys. Rev. Lett. 64, 137 (1990).
46. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 61, 2635 (1988).
47. K. Binder, Z. Phys. B 43, 119 (1979).
48. On the basis of simulations, it is argued by R. Kühn and A. Huber, Phys. Rev. Lett. 73, 2268 (1994) and by J.-K. Kim and A. Patrascioiu, ibid. 72, 2785 (1994), that the critical exponents of unfrustrated diluted Ising models show a nonuniversal dilution dependence.
49. A. T. Ogielski, Phys. Rev. B 32, 7384 (1985).
50. Recently, N. Kawashima and A. P. Young [Phys. Rev. B 53, 484 (1996)] have found evidence for a finite transition temperature and ordering below (Formula presented) for the ±J Ising spin glass, indicating that the lower critical dimension is indeed below 3. Their critical exponents (ν=1.7±0.3 and η=-0.35±0.05), are slightly different from those found earlier (ν≈1.2 and η ≈-0.25). A comparison with the exponents of the present simulation suggests that the diluted fcc AFM and the Ising ±J spin glass do not lie in the same universality class.