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Prog. Theor. Phys. Vol. 88 No. 5 (1992) pp. 865-880

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Asymptotic Behavior of Spin-Pair Correlation Function of Ising Model on Checkerboard Lattice

Kazuyuki Tanaka and Tohru Morita

Department of Engineering Science, Faculty of Engineering, Tohoku University, Sendai 980

(Received July 24, 1992)

Abstract:

The Ising model on a checkerboard lattice is reduced to a horizontal-layered free-fermion eight-vertex model by using Morita's techniques of division and integration and then the exact expression of the spin-pair correlation function of the model is given. The spontaneous magnetization and the asymptotic behavior of the spin-pair correlation function between two spins separated by a large distance are obtained.


URL : http://ptp.ipap.jp/link?PTP/88/865/
DOI : 10.1143/PTP.88.865

[ Full Text PDF : FREE ACCESS (1377K) ] Citation:


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Citing Article(s) :

  1. Journal of the Physical Society of Japan 62 (1993) pp. 868-872 :
    Asymptotic Behavior of Spin-Pair Correlation Function of Ising Model on Generalized Kagomé Lattice
    Kazuyuki Tanaka and Tohru Morita
  2. Progress of Theoretical Physics Vol. 88 No. 6 (1992) pp. 1073-1077 :
    On the Toeplitz Determinant for Spin-Pair Correlation Function of 2-D Ising Model
    Tohru Morita