Correlation Function of Potts Model on Bethe Lattice

We exactly calculate the partition function and correlation function of Potts model on Bethe type lattice and discuss its phase transition. The calculation shows that the thermodynamic properties of Potts model on those Bethe lattices which is constructed via connecting the generators by single joint points has the similar character of one dimensional system. The phase transition exists only at zero temperature and no finite temperature phase transition occurs.