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Correlation Functions of Multisite Interaction Spin-S models on the Bethe-like Lattices

R. G. Ghulghazaryan
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Abstract

Multisite interaction spin-S models in an external magnetic field are studied recursively on the Bethe-like lattices. The transfer-matrix method is extended to calculate exactly the two-spin correlation functions. The exact expressions for the correlation length and magnetic susceptibility are derived for spin-1/2 models. The singularity of the correlation length with critical index $ν=1$ and the proportionality of magnetic susceptibility to correlation length in the second order phase transition region of spin-1/2 ferromagnetic models on the Bethe-like lattices are established analytically.

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BibTeXRIS

R. G. Ghulghazaryan. 2000-03-10. Correlation Functions of Multisite Interaction Spin-S models on the Bethe-like Lattices. https://doi.org/10.1142/s0217979200000534

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