Coupled Ising-Potts Model: Rich Sets of Critical Temperatures and Translation-Invariant Gibbs Measures

F. H. Haydarov, B. A. Omirov, U. A. Rozikov

We consider a coupled Ising-Potts model on Cayley trees of order $k\ge 2$. This model involves spin vectors $(s,\ddot{I}ƒ)$, and generalizes both the Ising and Potts models by inco…