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

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

1999-12-28

arxiv.org/abs/cond-mat/9912463v2

Int. J. Mod. Phys. B 14, 589-602 (2000)

Physics

Condensed Matter

Statistical Mechanics

13 pages, In Press Int. J. Mod. Phys. B

Scientific paper

10.1142/S0217979200000534

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 $\nu =1$ 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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