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

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 $\nu =1$ 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.

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

References in corpus (2)

• An Ising spin - S model on generalized recursive lattice
• Correlation Functions of the Ising Model with Multisite Interaction on the Husimi Lattice

Cited by in corpus (1)

• Yang-Lee Zeros of the Q-state Potts Model on Recursive Lattices