Abstract
The Ising model on the generalized checkerboard lattice is studied and the three-spin correlation function is obtained for the three nodal spins surrounding a unit cell of the checkerboard lattice. As an application of this result, the spontaneous magnetization of the internal spin within a unit cell is calculated.
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References
L. Onsager,Nuovo Cimento (Suppl.)6:261 (1949).
C. N. Yang,Phys. Rev. 85:808 (1952).
C. H. Chang,Phys. Rev. 88:1422 (1952).
R. B. Potts,Phys. Rev. 88:352 (1952).
H. S. Green,Z. Phys. 171:129 (1963).
S. Naya,Prog. Theor. Phys. 11:53 (1954).
I. Syozi and S. Naya,Prog. Theor. Phys. 23:374 (1960).
R. J. Baxter,Proc. R. Soc. Lond. A 404:1 (1986).
K. Y. Lin,Phys. Lett. A 128:35 (1988).
R. J. Baxter and T. C. Choy,J. Phys. A 21:2143 (1988).
D. A. Huckaby,J. Phys. C 19:5477 (1986).
K. Y. Lin and J. L. Chen,J. Phys. A 20:5695 (1987).
K. Y. Lin and F. Y. Wu,J. Stat. Phys. 52:669 (1988).
R. J. Baxter,J. Phys. A 8:1797 (1975).
I. G. Enting,J. Phys. A 10:1737 (1977).
R. J. Baxter and T. C. Choy,Proc. R. Soc. Lond. A, to be published.
K. Y. Lin and F. Y. Wu,J. Phys. A 22:1121 (1989).
K. Y. Lin and M. Chen,Chin. J. Phys. 27:79 (1989).
F. Y. Wu, unpublished.
F. Y. Wu,J. Stat. Phys. 44:455 (1986).
T. C. Choy and R. J. Baxter,Phys. Lett. A 125:365 (1987).
R. J. Baxter,Phil. Trans. R. Soc. Lond. A 289:315 (1978).
M. E. Fishher,Phys. Rev. 113:969 (1959).
K. Y. Lin,Chin. J. Phys., to be published.
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Lin, K.Y. Three-spin correlation of the Ising model on the generalized checkerboard lattice. J Stat Phys 56, 631–643 (1989). https://doi.org/10.1007/BF01016771
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DOI: https://doi.org/10.1007/BF01016771