Abstract
We present exact explicit expressions for the row spin-spin correlation functions 〈σ 00 σ n0〉 in the isotropicd= 2 Ising model, in terms of elliptic integrals, forn⩽ 5. We also give a general structural formula for 〈σ 00 σ n0〉.
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References
L. Onsager,Phys. Rev. 65:117 (1944).
B. Kaufman and L. Onsager,Phys. Rev. 76:1244 (1949); B. Kaufman,Phys. Rev. 76:1232 (1949).
C. N. Yang,Phys. Rev. 85:803 (1952).
E. W. Montroll, R. B. Potts, and J. C. Ward,J. Math. Phys. 4:308 (1963).
B. M. McCoy and T. T. Wu,The Two-Dimensional Ising Model (Harvard University Press, Cambridge, 1971) and references therein.
R. K. Ghosh and R. E. Shrock,Phys. Rev. B 30:19;Phys. Rev. B 30:3790 (1984).
J. Stephenson,J. Math. Phys. 5:1009 (1964).
M. E. Fisher and R. J. Burford,Phys. Rev. 156:583 (1967).
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Ghosh, R.K., Shrock, R.E. Exact expressions for row correlation functions in the isotropicd=2 ising model. J Stat Phys 38, 473–482 (1985). https://doi.org/10.1007/BF01010472
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DOI: https://doi.org/10.1007/BF01010472