The exact solution of the doubly decorated Ising model with two- and four-spin interactions and crystal-field anisotropy is obtained using the generalized mapping transformation technique. Within this scheme, the exact relations for the phase boundaries, compensation points and spontaneous...

The generalized mapping transformation technique is used to obtain the exact solution for the mixed spin-12 and spin-S Ising model on decorated planar lattices. The critical temperature, the magnetization, the correlation functions, the internal energy and other thermodynamic quantities are...

We investigate an Ising model with three-spin interactions and five-spin interactions on a square lattice. We use exact mapping relations among interaction parameters and the temperature. We found that the system is equivalent to the eight-vertex model in some cases. For the system with an...