T = 0 partition functions for Potts antiferromagnets on lattice strips with fully periodic boundary conditions

Physica A: Statistical Mechanics and its Applications

Volumn 292, Issue 1-4, 2001, Pages 307-345

  Chang, Shu Chiuan ^a   Shrock, Robert ^b  

^a STONY BROOK UNIVERSITY   (United States)

^b BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CRYSTAL LATTICES; CRYSTAL ORIENTATION; GRAPH THEORY; POLYNOMIALS;

POTTS ANTIFERROMAGNETS; ZERO-TEMPERATURE PARTITION FUNCTIONS;

ANTIFERROMAGNETIC MATERIALS;

EID: 0035280842     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(00)00544-6     Document Type: Article

References (34)

1. R.B. Potts, Proc. Cambridge Philos. Soc. 48 (1952) 106.
2. F.Y. Wu, Rev. Mod. Phys. 54 (1982) 235.
3. M. Aizenman, E.H. Lieb, J. Stat. Phys. 24 (1981) 279.
4. Y. Chow, F.Y. Wu, Phys. Rev. B 36 (1987) 285.
5. R.C. Read, J. Combin. Theory 4 (1968) 52.
6. R.C. Read, W.T. Tutte, Chromatic polynomials, in: L.W. Beineke, R.J. Wilson (Eds.), Selected Topics in Graph Theory, 3, Academic Press, New York, 1988, p. 15.
7. N.L. Biggs, Algebraic Graph Theory, 2nd Edition, Cambridge University Press, Cambridge, 1993.
8. R. Shrock, S.-H. Tsai, Phys. Rev. E 55 (1997) 5165.
9. S. Beraha, J. Kahane, N. Weiss, J. Combin. Theory B 28 (1980) 52.
10. N.L. Biggs, R.M. Damerell, D.A. Sands, J. Combin. Theory B 12 (1972) 123.
11. N.L. Biggs, G.H. Meredith, J. Combin. Theory B 20 (1976) 5.
12. N.L. Biggs, Bull. London Math. Soc. 9 (1977) 54.
13. R.C. Read, Proceedings of Third Caribbean Conference on Combin. and Computing, 1981.
14. R.C. Read, Proceedings of Fifth Caribbean Conference on Combin. and Computing, 1988.
15. R.C. Read, G.F. Royle, in: Graph Theory, Combinatorics, and Applications, Vol. 2, Wiley, New York, 1991, p. 1009.
16. N.L. Biggs, R. Shrock, J. Phys. A (Lett.) 32 (1999) L489.
17. S.-C. Chang, R. Shrock, YITP-SB-99-50, October 1999, cond-mat/0005236.
18. R. Shrock, S.-H. Tsai, J. Phys. A 32 (1999) 5053.
19. R. Shrock, S.-H. Tsai, Phys. Rev. E 60 (1999) 3512.
20. R. Shrock, S.-H. Tsai, Physica A 275 (2000) 429.
21. R. Shrock, Phys. Lett. A 261 (1999) 57.
22. R. Shrock, Proceedings of the 1999 British Combinatorial Conference, BCC99, July 1999, Discrete Math., in press.
23. N.L. Biggs, Reports LSE-CDAM-99-03,05.
24. S.-C. Chang, R. Shrock, Phys. Rev. E 62 (2000) 4650.
25. S.-C. Chang, R. Shrock, Physica A, in press (cond-mat/0004161).
26. S.-C. Chang, R. Shrock, Physica A, in press (cond-mat/0005232).
27. M. Rocek, R. Shrock, S.-H. Tsai, Physica A 252 (1998) 505.
28. M. Rocek, R. Shrock, S.-H. Tsai, Physica A 259 (1998) 367.
29. R. Shrock, S.-H. Tsai, Physica A 259 (1998) 315.
30. R. Shrock, S.-H. Tsai, Phys. Rev. E 58 (1998) 4332; cond-mat/9808057.
31. E.H. Lieb, Phys. Rev. 162 (1967) 162.
32. J. Salas, A. Sokal, J. Stat. Phys. 86 (1997) 551.
33. R.J. Baxter, J. Phys. A 20 (1987) 5241.
34. R. Shrock, Physica A 283 (2000) 388.