Vortex lines in the three-dimensional XY model with random phase shifts

Physical Review B - Condensed Matter and Materials Physics

Volumn 54, Issue 22, 1996, Pages 16024-16031

  Suan Li, Mai ^a   Nattermann, Thomas ^b  

^a INSTITUTE OF PHYSICS   (Poland)

^b UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242353228     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.54.16024     Document Type: Article

References (38)

1. Y. Imry and S. K. Ma, Phys. Rev. Lett. 35, 1399 (1975).
2. M. Rubinstein, B. Shraiman and D. R. Nelson, Phys. Rev. B 27, 1800 (1983).
3. E. Granato and J. M. Kosterlitz, Phys. Rev. B 33, 6533 (1986).
4. E. Granato and J. M. Kosterlitz, Phys. Rev. Lett. 62, 823 (1989)
5. M. J. P. Gingras and E. S. Sørensen, Phys. Rev. B 46, 3441 (1992).
6. C. Ebner and D. Stroud, Phys. Rev. B 31, 165 (1985).
7. D. A. Huse and S. Seung, Phys. Rev. Bibid. 42, 1059 (1990).
8. D. S. Fisher and D. A. Huse, Phys. Rev. Bibid. 43, 10t728 (1991).
9. M. P. A. Fisher, T. A. Tokuyasu and A. P. Young, Phys. Rev. Lett. 66, 2931 (1991).
10. M. Cieplak, J. R. Banavar, M. S. Li and A. Khurana, Phys. Rev. B 45, 786 (1992).
11. M. J. P. Gingras, Phys. Rev. B 45, 7547 (1992).
12. J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).
13. T. Nattermann, S. Scheidl, S. E. Korshunov and M. S. Li, J. Phys. (France) I 5, 565 (1995).
14. S. E. Korshunov and T. Nattermann, Phys. Rev. B 53, 2746 (1996);S. Scheidl, Phys. Rev. B (to be published).
15. L. H. Tang, Phys. Rev. B 54, 3350 (1996).
16. H. Nishimori, Physica A 205, 1 (1994).
17. See T. Nattermann and P. Rujan, Int. J. Mod. Phys. B 3, 1597 (1989) and references therein.
18. H. S. Bokil and A. P. Young, Phys. Rev. Lett. 74, 3021 (1995).
19. H. Kleinert, Gauge Fields in Condensed Matter (World Scientific, Singapore, 1989).
20. E. Medina, T. Hwa, M. Kardar and Y. C. Zhang, Phys. Rev. A 39, 3053 (1989).
21. M. Kardar, G. Parisi and Y. C. Zhang, Phys. Rev. Lett. 56, 889 (1986).
22. M. Schwartz and S. F. Edwards, Europhys. Lett. 20, 301 (1992).
23. F. Family and T. Vicsek, J. Phys. A 18, L75 (1985).
24. Y.-C. Zhang, Phys. Rev. B 42, 4897 (1990).
25. H. G. E. Hentschel and F. Family, Phys. Rev. Lett. 66, 1982 (1991).
26. C. K. Peng, S. Havlin, M. Schwartz and H. E. Stanley, Phys. Rev. A 44, 2239 (1991).
27. P. Meakin and R. Jullien, Europhys. Lett. 9, 71 (1989).
28. J. G. Amar, P. M. Lam and F. Family, Phys. Rev. A 43, 4548 (1991).
29. C.-H. Lam, L. M. Sander and D. E. Wolf, Phys. Rev. A 46, R6128 (1992).
30. P. Meakin and R. Jullien, Phys. Rev. A 41, 983 (1990).
31. A. Greiner, W. Strittmatter and J. Honerkamp, J. Stat. Phys. 51, 95 (1988).
32. K. Moser, J. Kertesz and D. E. Wolf, Physica A 178, 215 (1991).
33. J. L. Cardy and S. Ostlund, Phys. Rev. B 25, 68991 (1982).
34. Y. Y. Goldschmidt and A. Houghton, Nucl. Phys. B210, 155 (1982).
35. Y. Y. Goldschmidt and B. Schaub, Nucl. Phys. B251, 77 (1985).
36. M. Gingras and D. Huse, Phys. Rev. B 53, 15t193 (1996).
37. J. Villain and J. F. Fernandez, Z. Phys. B 54, 139 (1984)
38. J. Kierfeld, T. Nattermann, and T. Hwa, Phys. Rev. B (to be published).