Transfer matrix computation of critical polynomials for two-dimensional Potts models

Journal of Physics A: Mathematical and Theoretical

Volumn 46, Issue 7, 2013, Pages

  Jacobsen, Jesper Lykke ^a,b   Scullard, Christian R ^c  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b SORBONNE UNIVERSITÉ   (France)

^c LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84873915496     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/46/7/075001     Document Type: Article

References (37)

1. Jacobsen J L and Scullard C R 2012 J. Phys. A: Math. Theor. 45 494003
2. Potts R B 1952 Proc. Camb. Phil. Soc. 48 106
3. Wu F Y 1982 Rev. Mod. Phys. 54 235
4. Baxter R J 1982 Exactly Solved Models in Statistical Mechanics (London: Academic)
5. Fortuin C M and Kasteleyn P W 1972 Physica 57 536
6. Baxter R J 1973 J. Phys. C: Solid State Phys. 6 L445
7. Baxter R J, Temperley H N V and Ashley S E 1978 Proc. R. Soc. Lond. A 358 535
8. Wu F Y 2010 Phys. Rev. E 81 061110
9. Scullard C R 2006 Phys. Rev. E 73 016107 (Pubitemid 43254394)
10. Ziff R M 2006 Phys. Rev. E 73 016134 (Pubitemid 43254420)
11. Wierman J C 1984 J. Phys. A: Math. Gen. 17 1525
12. Ding C, Wang Y and Li Y 2012 Phys. Rev. E 86 021125
13. Scullard C R and Jacobsen J L 2013 J. Phys. A: Math. Theor. at press
14. Baxter R J 1982 Proc. R. Soc. Lond. A 383 43
15. Scullard C R 2012 Phys. Rev. E 86 041131
16. Scullard C R 2012 J. Stat. Mech. P11011
17. Ziff R M and Suding P N 1997 J. Phys. A: Math. Gen. 30 5351 (Pubitemid 127106109)
18. Wu F Y 1979 J. Phys. C: Solid State Phys. 12 L645
19. Sokal A D 2005 London Mathematical Society Lecture Note Series 327 173
20. Scullard C R and Jacobsen J L 2012 J. Phys. A: Math. Theor. 45 494004
21. Wu F Y and Lin K Y 1980 J. Phys. A: Math. Gen. 13 629
22. Blöte H W J and Nightingale M P 1982 Physica A 112 405
23. Jacobsen J L and Cardy J 1998 Nucl. Phys. B 515 701
24. Salas J and Sokal A D 2001 J. Stat. Phys. 104 609
25. Baxter R J, Kelland S B and Wu F Y 1976 J. Phys. A: Math. Gen. 9 397
26. Kano K and Naya S 1953 Prog. Theor. Phys. 10 158
27. Ding C, Fu Z, Guo W and Wu F Y 2010 Phys. Rev. E 81 061111
28. Hurst C A 1963 J. Chem. Phys. 38 2558
29. Syozi I 1955 Rev. Kobe Univ. Mercantile Mar. 2 21
30. Saleur H 1991 Nucl. Phys. B 360 219
31. Jacobsen J L and Saleur H 2006 Nucl. Phys. B 743 207 (Pubitemid 43609116)
32. Pasquier V and Saleur H 1990 Nucl. Phys. B 330 523
33. Andrews G E, Baxter R J and Forrester P J 1984 J. Stat. Phys 35 193
34. Jacobsen J L and Salas J 2006 J. Stat. Phys. 122 705 (Pubitemid 43586405)
35. Jacobsen J L and Salas J 2007 Nucl. Phys. B 783 238
36. Jacobsen J L, Salas J and Sokal A 2005 J. Stat. Phys. 119 1153 (Pubitemid 41130716)
37. Moore C and Newman M E J 2000 J. Stat. Phys. 99 629