Theory of the critical state of low-dimensional spin glass

Journal de Physique I

Volumn 6, Issue 1, 1996, Pages 67-95

  Thill, M J ^a,b   Hilhorst, H J ^a  

^a UNIVERSITÉ PARIS SUD   (France)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040131365     PISSN: 11554304     EISSN: None     Source Type: Journal    
DOI: 10.1051/jp1:1996130     Document Type: Article

References (54)

1. McMillan W.L., J. Phys. C 17 (1984) 3179.
2. Bray A.J. and Moore M.A., Scaling theory of the ordered phase of Ising spin glasses, in: Heidelberg Colloquium on Glassy Dynamics, J.L. van Hemmen and I. Morgenstern, Eds. (Springer-Verlag, Heidelberg, 1986).
3. Fisher D.S. and Huse D.A., Phys. Rev. Lett. 56 (1986) 1601;
4. Fisher D.S. and Huse D.A., Phys. Rev. B 38 (1988) 386.
5. Fisher D.S. and Huse D.A., Phys. Rev. B 36 (1987) 8937;
6. Fisher D.S. and Huse D.A., J. Phys. A 20 (1987) L997;
7. Fisher D.S. and Huse D.A., J. Phys. A 20 (1987) L1005;
8. Fisher D.S. and Huse D.A., Phys. Rev. B 38 (1988) 373.
9. Bray A.J. and Moore M.A., Phys. Rev. B 34 (1986) 6561, and references therein.
10. Edwards S.F. and Anderson P.W., J. Phys. F 5 (1975) 965.
11. Migdal A.A., Zh. Eksp. Teor. Fiz. 69 (1975) 1457
12. [Sov. Phys. JETP 42 (1975) 743];
13. Kadanoff L.P., Ann. Phys. (New York) 91 (1975) 226.
14. Young A.P. and Stinchcombe R.B., J. Phys. C 9 (1976) 4419.
15. Southern B.W. and Young A.P., J. Phys. C 10 (1977) 2179.
16. Anderson P.W. and Pond C.M., Phys. Rev. Lett. 40 (1978) 903.
17. Nifle M. and Hilhorst H.J., Phys. Rev. Lett. 68 (1992) 2992.
18. Ney-Nifle M. and Hilhorst H.J., Physica A 193 (1993) 48.
19. Banavar J.R. and Bray A.J., Phys. Rev. B 35 (1987) 8888.
20. Bray A.J. and Moore M.A., J. Phys. C 17 (1984) L463;
21. McMillan W.L., Phys. Rev. B 30 (1984) 476;
22. Phys. Rev. B 31 (1985) 340.
23. McMillan W.L., Phys. Rev. B 29 (1984) 4026;
24. Bray A.J. and Moore M.A., Phys. Rev. B 31 (1985) 631.
25. Caflisch R.G., Banavar J.R. and Cieplak M., J. Phys. C 18 (1985) L991.
26. Singh R.R.P. and Fisher M.E., J. Appl. Phys. 63 (1988) 3994;
27. Fisher M.E. and Singh R.R.P., in: Disorder in Physical Systems, G. Grimmett and D.J.A. Welsh Eds., (Oxford University Press, Oxford, 1990).
28. Thill M.J. and Hilhorst H.J., unpublished.
29. Collet P. and Eckmann J.-P., Commun. Math. Phys. 93 (1984) 379.
30. For some properties of multifractal exponents and applications of multifractal scaling with other systems see e.g. Duplantier B. and Ludwig A.W.W., Phys. Rev. Lett. 66 (1991) 247 and references therein.
31. Bray A.J. and Moore M.A., Phys. Rev. Lett. 58 (1987) 57.
32. Cieplak M., Maritan A. and Banavar J.R., J. Phys. A 27 (1994) L765.
33. Cieplak M., Maritan A. and Banavar J.R., Phys. Rev. Lett. 72 (1994) 2320.
34. Huse D.A., Phys. Rev. B 43 (1991) 8673.
35. Bray A.J. and Moore M.A., J. Phys. C 17 (1984), L613.
36. Sourlas N., Europhys. Lett. 3 (1987) 1007.
37. Parisi G., Phys. Lett. B 136 (1984) 392.
38. Imry Y. and Ma S.-K., Phys. Rev. Lett. 35 (1975) 1399.
39. Klein L., Adler J., Aharony A., Harris A.B. and Meir Y., Phys. Rev. B 43 (1991) 11249.
40. Geschwind S., Huse D.A. and Devlin G.E., Phys. Rev. B 41 (1990) 4854;
41. Phys. Rev. B 41 (1990) 2650.
42. Van Enter A.C.D. and Van Hemmen J.L., Phys. Rev. A 29 (1984) 355.
43. Fisher D.S., J. Appl. Phys. 61 (1987) 3672;
44. Huse D.A. and Fisher D.S., Phys. Rev. B 35 (1987) 6841.
45. Recent Progress in Random Magnets, D.H. Ryan, Ed. (World Scientific, Singapore 1992);
46. Mydosh J.A., Spin glasses: an experimental introduction (Taylor & Francis, London, 1993).
47. Rieger H., Monte Carlo Studies of Ising Spin Glasses and Random Field Systems, in: Annual Reviews of Computational Physics II, D. Stauffer, Ed. (World Scientific, Singapore 1995).
48. Huse D.A., Phys. Rev. B 43 (1991) 8673.
49. Young A.P., Phys. Rev. Lett. 50 (1983) 917;
50. Kinzel W. and Binder K., Phys. Rev. B 29 (1984) 1300;
51. Fisher D.S. and Huse D.A., Phys. Rev. B 36 (1987) 8937.
52. Sandlund L., Granberg P., Lundgren L., Nordblad P., Svedlindh P., Cowen J.A. and Kenning G.G., Phys. Rev. B 40 (1989) 869;
53. Hoines L., Stubi R., Loloee R., Cowen J.A. and Bass J., Phys. Rev. Lett. 66 (1991) 1224.
54. Mattsson J., private communication.