Avoided phase transitions and glassy dynamics in geometrically frustrated systems and non-Abelian theories

Physical Review B - Condensed Matter and Materials Physics

Volumn 69, Issue 1, 2004, Pages

  Nussinov, Zohar ^a,b  

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GLASS;

ARTICLE; ENTROPY; GEOMETRY; MOLECULAR DYNAMICS; PHASE TRANSITION; PREDICTION; TEMPERATURE DEPENDENCE; THEORY; THERMODYNAMICS;

EID: 1342322905     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.69.014208     Document Type: Article

References (39)

1. J.F. Sadoc and R. Mosseri, Geometrical Frustration (Cambridge University Press, Cambridge, 1999).
2. F.C. Frank and J.S. Kasper, Acta Crystallogr. 11, 184 (1958).
3. F.C. Frank, J.S. Kasper, Acta Crystallogr. 12, 483 (1959).
4. D.R. Nelson, Phys. Rev. B 28, 5515 (1983).
5. J.F. Sadoc, J. Phys. Lett., 44, L-707 (1983).
6. J.P. Sethna, Phys. Rev. B 31, 6278 (1985).
7. J.F. Sadoc and J. Charvolin, J. Phys. 47, 683 (1986).
8. S. Sachdev and D.R. Nelson, Phys. Rev. B 32, 1480 (1985).
9. L. Chayes, V.J. Emery, S.A. Kivelson, Z. Nussinov, and G. Tarjus, Physica A 225, 129 (1996).
10. Z. Nussinov, J. Rudnick, S.A. Kivelson, and L.N. Chayes, Phys. Rev. Lett. 83, 472 (1999).
11. D. Kivelson, S.A. Kivelson, X.L. Zhao, Z. Nussinov, and G. Tarjus, Physica A 219, 27 (1995).
12. D. Nelson and F. Spaepen, Solid State Phys. 42, 1 (1989).
13. D.R. Nelson and M. Widom, Nucl. Phys. B 240, 113 (1984)
14. K.F. Kelton, et al., Phys. Rev. Lett. 90, 195504 (2003).
15. T. Schenk, et al., Phys. Rev. Lett. 89, 075507 (2002).
16. Z. Nussinov, thesis, University of California, Los Angeles, 1999.
17. R. Mosseri and J.F. Sadoc, J. Phys. (Paris), Lett. 45, L827 (1984).
18. J.F. Sadoc and F. Mosseri, Amorphous Materials, edited by V. Vitek (American Institute of Metallurgical Engineering, New York, 1983), p. 111.
19. Z. Nussinov, cond-mat/0105253 (unpublished).
20. S. Brazovskii, Sov. Phys. JETP 41, 85 (1975).
21. K.K. Loh, et al., cond-mat/0206494, Phys. Rev. E (to be published).
22. W. Klein, H. Gould, R.A. Ramos, I. Clejan, and A.I. Meluck, Physica A 205, 738 (1994).
23. S. Wu, J. Schmalian, G. Kotliar, and P. Wolynes, cond-mat/0305404 (unpublished).
24. J.O.K. Doye, D.J. Wales, F.H. Zetterling, and M. Dzugutov, cond-mat/0205374 (unpublished).
25. J. Schmalian and P.G. Wolynes, Phys. Rev. Lett. 85, 836 (2000).
26. H. Westfahl, Jr., J. Schmalian, and P.G. Wolynes, Phys. Rev. B 64, 174203 (2001).
27. S. Alexander and J.P. McTague, Phys. Rev. Lett. 41, 702 (1978).
28. T.R. Kirkpatrick and P.G. Wolynes, Phys. Rev. A 35, 3072 (1987).
29. T.R. Kirkpatrick, P.G. Wolynes, Phys. Rev. B 36, 8552 (1987).
30. T.R. Kirkpatrick and P.G. Wolynes, Phys. Rev. A 40, 1045 (1989).
31. T.R. Kirkpatrick and D. Thirumalai, Phys. Rev. Lett. 58, 2091 (1987).
32. M. Grousson, G. Tarjus, and P. Viot, Phys. Rev. E 66, 026126 (2002).
33. P.L. Geissler and D.R. Reichman, cond-mat/0304254 (unpublished).
34. J. Schmalian, S. Wu, and P.G. Wolynes, cond-mat/0305420 (unpublished).
35. F.C. Frank, Proc. R. Soc. London, Ser. A 215, 43 (1952).
36. H. Kleinert, Gauge Fields in Condensed Matter (World Scientific, Singapore, 1989).
37. N. Rivier, Philos. Mag. B 40, 859 (1979).
38. N. Rivier, The Taniguchi Symposium on The Nature of Topological Disorder, edited by F. Yonezawa and T. Ninomiya (Springer-Verlag, Berlin, 1983), p. 14.
39. Joerg Schmallian (private communication).