Abstract
The corner transfer matrix formalism is used to obtain low-temperature series expansions for the square lattice Ising model in a field. This algebraic technique appears to be far more efficient than conventional methods based on combinatorial enumeration.
Similar content being viewed by others
References
R. J. Baxter,J. Stat. Phys. 19:461 (1978).
M. F. Wortis, inPhase Transitions and Critical Phenomena C. Domb and M. S. Green, eds. (Academic, 1974), Chapter 3.
R. J. Baxter,J. Math. Phys. 9:650 (1968).
H. A. Kramers and G. H. Wannier,Phys. Rev. 60:263 (1941).
R. J. Baxter,J. Stat. Phys. 15:485 (1976).
R. J. Baxter,J. Stat. Phys. 17:1 (1977).
M. F. Sykes, D. S. Gaunt, and S. R. Mattingly,J. Math. Phys. 14:1066 (1973).
S. K. Tsang,J. Stat. Phys. 20:95 (1979).
L. Onsager,Phys. Rev. 65:117 (1944).
C. Domb,Advan. Phys. 9:149 (1960).
T. D. Lee and C. N. Yang,Phys. Rev. 87:410 (1952).
B. M. McCoy and T. T. Wu,Phys. Rev. 155:438 (1967).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Baxter, R.J., Enting, I.G. Series expansions from corner transfer matrices: The square lattice Ising model. J Stat Phys 21, 103–123 (1979). https://doi.org/10.1007/BF01008694
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01008694