Ising transition in the classical ANNNXY model

Journal of Physics A: Mathematical and General

Volumn 30, Issue 8, 1997, Pages 2653-2668

  Simon, P ^a,b  

^a UNIVERSITÉ DE STRASBOURG   (France)

^b LPTHE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031582176     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/8/013     Document Type: Article

References (39)

1. Chandra P and Douçot B 1988 Phys. Rev. B 38 9335
2. Chandra P, Coleman P and Larkin A I 1990 Phys. Rev. Lett. 64 88
3. Einarsson T and Johannesson H 1991 Phys. Rev. B 43 5867 Ferrer J 1993 Phys. Rev. B 47 8769
4. Einarsson T and Johannesson H 1991 Phys. Rev. B 43 5867 Ferrer J 1993 Phys. Rev. B 47 8769
5. Rastelli E and Tassi A 1989 Z. Phys. B 75 211
6. Gavay R V and Karsch F 1992 Phys. Rev. B 46 944
7. Ferreira S J and Sokal A D 1994 Antiferromagnetic Potts Models on the Square Lattice e-Print Archive: hep-lat/9405015 Parisi G and Ruiz-Lorenzo J J 1995 J. Phys. A: Math. Gen. 28 L395 Alonso J L, Boucaud Ph and van der Sijs A J 1995 Phys. Rev. D 52 1732
8. Ferreira S J and Sokal A D 1994 Antiferromagnetic Potts Models on the Square Lattice e-Print Archive: hep-lat/9405015 Parisi G and Ruiz-Lorenzo J J 1995 J. Phys. A: Math. Gen. 28 L395 Alonso J L, Boucaud Ph and van der Sijs A J 1995 Phys. Rev. D 52 1732
9. Ferreira S J and Sokal A D 1994 Antiferromagnetic Potts Models on the Square Lattice e-Print Archive: hep-lat/9405015 Parisi G and Ruiz-Lorenzo J J 1995 J. Phys. A: Math. Gen. 28 L395 Alonso J L, Boucaud Ph and van der Sijs A J 1995 Phys. Rev. D 52 1732
10. Kosterlitz J M and Thouless D 1973 J. Phys. C: Solid State Phys. 61181 Berezinski V L 1970 Zh. Eksp. Teor. Fiz. 59 907
11. Kosterlitz J M and Thouless D 1973 J. Phys. C: Solid State Phys. 61181 Berezinski V L 1970 Zh. Eksp. Teor. Fiz. 59 907
12. Kosterlitz J M 1974 J. Phys. C: Solid State Phys. 7 1046
13. Jose J, Kadanoff L P, Kirkpatrick S and Nelson D 1977 Phys. Rev. B 2 1217
14. Henley C L 1989 Phys. Rev. Lett. 62 2056; 1987 J. Appl. Phys. 61 3962 Henley C L and Prakash S 1988 J. Phys. (Paris) C 8 1197
15. Henley C L 1989 Phys. Rev. Lett. 62 2056; 1987 J. Appl. Phys. 61 3962 Henley C L and Prakash S 1988 J. Phys. (Paris) C 8 1197
16. Henley C L 1989 Phys. Rev. Lett. 62 2056; 1987 J. Appl. Phys. 61 3962 Henley C L and Prakash S 1988 J. Phys. (Paris) C 8 1197
17. Villain J 1977 J. Phys. (Paris) 38 26 Villain J, Bideaux R, Carton J L and Conte R 1980 J. Phys. (Paris) 41 126
18. Villain J 1977 J. Phys. (Paris) 38 26 Villain J, Bideaux R, Carton J L and Conte R 1980 J. Phys. (Paris) 41 126
19. Villain J 1977 J. Phys. C: Solid State Phys. 10 4793 Berge B, Diep H T, Ghazali A and Lallemand P 1986 Phys. Rev. B 34 3177
20. Villain J 1977 J. Phys. C: Solid State Phys. 10 4793 Berge B, Diep H T, Ghazali A and Lallemand P 1986 Phys. Rev. B 34 3177
21. Lee D H, Joannopoulos J D and Negele J W 1984 Phys. Rev. Lett. 52 433 Korshunov S E and Uimin G V 1986 J. Stat. Phys. 43 1 Thijssen J M and Knops H J F 1988 Phys. Rev. B 37 7738 Thijssen J M and Knops H J F 1989 Phys. Rev. B 40 5211 Granato E, Kosterlitz J M, Lee J and Nightingale M P 1991 Phys. Rev. Lett. 66 1090
22. Lee D H, Joannopoulos J D and Negele J W 1984 Phys. Rev. Lett. 52 433 Korshunov S E and Uimin G V 1986 J. Stat. Phys. 43 1 Thijssen J M and Knops H J F 1988 Phys. Rev. B 37 7738 Thijssen J M and Knops H J F 1989 Phys. Rev. B 40 5211 Granato E, Kosterlitz J M, Lee J and Nightingale M P 1991 Phys. Rev. Lett. 66 1090
23. Lee D H, Joannopoulos J D and Negele J W 1984 Phys. Rev. Lett. 52 433 Korshunov S E and Uimin G V 1986 J. Stat. Phys. 43 1 Thijssen J M and Knops H J F 1988 Phys. Rev. B 37 7738 Thijssen J M and Knops H J F 1989 Phys. Rev. B 40 5211 Granato E, Kosterlitz J M, Lee J and Nightingale M P 1991 Phys. Rev. Lett. 66 1090
24. Lee D H, Joannopoulos J D and Negele J W 1984 Phys. Rev. Lett. 52 433 Korshunov S E and Uimin G V 1986 J. Stat. Phys. 43 1 Thijssen J M and Knops H J F 1988 Phys. Rev. B 37 7738 Thijssen J M and Knops H J F 1989 Phys. Rev. B 40 5211 Granato E, Kosterlitz J M, Lee J and Nightingale M P 1991 Phys. Rev. Lett. 66 1090
25. Lee D H, Joannopoulos J D and Negele J W 1984 Phys. Rev. Lett. 52 433 Korshunov S E and Uimin G V 1986 J. Stat. Phys. 43 1 Thijssen J M and Knops H J F 1988 Phys. Rev. B 37 7738 Thijssen J M and Knops H J F 1989 Phys. Rev. B 40 5211 Granato E, Kosterlitz J M, Lee J and Nightingale M P 1991 Phys. Rev. Lett. 66 1090
26. Villain J 1973 J. Phys. C: Solid State Phys. 6 581
27. Amit D J, Elitzur S, Rabinovici E and Savit R 1982 Nucl. Phys. B 210 69
28. Kleinert H 1989 Gauge Fields in Condensed Matter vol 2 (Singapore: World Scientific)
29. Mermin N D and Wagner H 1966 Phys. Rev. Lett. 17 1133
30. Young A P 1978 J. Phys. C: Solid State Phys. 11 L453 Minnhagen P 1987 Rev. Mod. Phys. 59 1001
31. Young A P 1978 J. Phys. C: Solid State Phys. 11 L453 Minnhagen P 1987 Rev. Mod. Phys. 59 1001
32. Amit D J, Goldschmidt Y Y and Grinstein G 1980 J. Phys. A: Math. Gen. 13 585
33. Cardy J L and Ostlund S 1981 Phys. Rev. B 25 6899 Korshunov S E 1993 Phys. Rev. B 48 1124 Scheidl S 1995 Glassy Vortex State in a Two-Dimensional Disordered XY-Model, e-Print Archive: cond-mat/9503016
34. Cardy J L and Ostlund S 1981 Phys. Rev. B 25 6899 Korshunov S E 1993 Phys. Rev. B 48 1124 Scheidl S 1995 Glassy Vortex State in a Two-Dimensional Disordered XY-Model, e-Print Archive: cond-mat/9503016
35. Cardy J L and Ostlund S 1981 Phys. Rev. B 25 6899 Korshunov S E 1993 Phys. Rev. B 48 1124 Scheidl S 1995 Glassy Vortex State in a Two-Dimensional Disordered XY-Model, e-Print Archive: cond-mat/9503016
36. Yosefin M and Domany E 1985 Phys. Rev. B 32 1778 Granato E and Kosterlitz J M 1986 Phys. Rev. B 33 4767
37. Yosefin M and Domany E 1985 Phys. Rev. B 32 1778 Granato E and Kosterlitz J M 1986 Phys. Rev. B 33 4767
38. Benakli M, Gabay M and Saslow W M 1994 Transitions of Frustrated XY Spins in Two Dimensions e-Print Archive: cond-mat/9410016 Benakli M 1995 Thèse de doctorat University Paris-Sud
39. Benakli M, Gabay M and Saslow W M 1994 Transitions of Frustrated XY Spins in Two Dimensions e-Print Archive: cond-mat/9410016 Benakli M 1995 Thèse de doctorat University Paris-Sud