Corner free energies and boundary effects for Ising, Potts and fully packed loop models on the square and triangular lattices

Journal of Physics A: Mathematical and Theoretical

Volumn 45, Issue 4, 2012, Pages

  Vernier, Eric ^a,b   Jacobsen, Jesper Lykke ^a,c,d  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b CEA SACLAY   (France)

^c SORBONNE UNIVERSITÉ   (France)

^d INSTITUT HENRI POINCARÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84856022434     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/45/4/045003     Document Type: Article

References (40)

1. Dosch H 1992 Critical Phenomena at Surfaces and Interfaces (Tracts in Modern Physics vol 126) (Berlin: Springer)
2. Brankov J G, Dantchev D M and Tonchev N S 2000 Theory of Critical Phenomena in Finite Size Systems (Singapore: World Scientific)
3. Sklyanin E K 1988 J. Phys. A: Math. Gen. 21 2375
4. Cardy J L and Peschel I 1988 Nucl. Phys. B 300 37792
5. Jacobsen J L 2010 J. Phys. A: Math. Theor. 43 315002 (arXiv:1005.3609)
6. Enting I G 1978 J. Phys. A: Math. Gen. 11 5638
7. Jacobsen J L and Saleur H 2008 Nucl. Phys. B 778 13766 (arXiv:math-ph/0611078)
8. Kondev J and Henley C L 1995 Phys. Rev. B 52 662839
9. Kasteleyn P W and Fortuin C M 1969 J. Phys. Soc. Japan Suppl. 26 11
10. Fortuin C M and Kasteleyn P W 1972 Physica 57 536
11. Saleur H 1991 Nucl. Phys. B 360 219
12. Jacobsen J L and Saleur H 2006 Nucl. Phys. B 743 20748 (arXiv:cond-mat/0512058)
13. Baxter R J 1973 J. Phys. C: Solid State Phys. 6 L4458
14. Alcaraz F C, Barber M N and Batchelor M T 1988 Ann. Phys. 182 30843
15. Baxter R J 1982 Proc. R. Soc. A 383 4354
16. Ikhlef Y, Jacobsen J L and Saleur H 2008 Nucl. Phys. B 789 483524 (arXiv:cond-mat/0612037)
17. Ikhlef Y, Jacobsen J L and Saleur H 2011 arXiv:1109.1119
18. Baxter R J, Kelland S B and Wu F Y 1976 J. Phys. A: Math. Gen. 9 397
19. Baxter R J 1982 Exactly Solved Models in Statistical Mechanics (London: Academic)
20. Baxter R J, Temperley H N V and Ashley S E 1978 Proc. R. Soc. A 358 53559
21. Baxter R J 1986 J. Phys. A: Math. Gen. 19 2821
22. Baxter R J 1987 J. Phys. A: Math. Gen. 20 5241
23. Jacobsen J L, Salas J and Sokal A D 2003 J. Stat. Phys. 112 921 (arXiv:cond-mat/0204587)
24. Dei Cont D and Nienhuis B 2004 J. Phys. A: Math. Theor. 37 3085 (arXiv:cond-mat/0311244)
25. Jacobsen J L and Zinn-Justin P 2004 J. Phys. A: Math. Theor. 37 721325 (arXiv:math-ph/0402008)
26. Dei Cont D and Nienhuis B 2004 arXiv:cond-mat/0412018
27. Kondev J 1997 Phys. Rev. Lett. 78 43203 (arXiv:cond-mat/9703113)
28. Jacobsen J L and Kondev J 1998 Nucl. Phys. B 532 63588 (arXiv:cond-mat/9804048)
29. Jacobsen J L 2009 Conformal field theory applied to loop models Polygons, Polyominoes and Polycubes (Lecture Notes in Physics vol 775) ed A J Guttmann (Heidelberg: Springer) pp 347424
30. Baxter R J, Sykes M F and Watts M G 1975 J. Phys. A: Math. Gen. 8 24551
31. Enting I G 2006 J. Phys.: Conf. Ser. 42 8394
32. Jacobsen J L, Salas J and Sokal A D 2005 J. Stat. Phys. 119 1153281 (arXiv:cond-mat/0401026)
33. Caracciolo S, Jacobsen J L, Saleur H, Sokal A D and Sportiello A 2004 Phys. Rev. Lett. 93 080601 (arXiv:cond-mat/0403271)
34. Apostol T M 1997 Modular Functions and Dirichlet Series in Number Theory 2nd edn (New York: Springer) p 47
35. Buffenoir E and Wallon S 1996 J. Phys. A: Math. Gen. 26 304562
36. Elkies N, Kuperberg G, Larsen M and Propp J 1992 J. Alg. Combin. 1 11132 (arXiv:math.CO/9201305)
37. Jockusch W, Propp J and Shor P 1998 arXiv:math.CO/9801068
38. Bondesan R, Dubail J, Jacobsen J L and Saleur H 2011 Conformal boundary state for fully open boundary conditions arXiv:1110.6861
39. Andrews G E 2008 The Theory of Partitions (Cambridge: Cambridge University Press)
40. Meinardus G 1954 Asymptotische Aussagen ber Partitionen Mathematische Zeitschrift 59 38898