The study of ising model on the Husimi lattice

In this study, the magnetic and thermal properties of spin-1/2 Ising model on the Husimi lattice were investigated using exact recursion method. It was considered that the spin values take as ±1 values on the Husimi lattice with general coordination number q. First, the exact recursion relation of the model was obtained on the Husimi lattice with general coordination number. Later, the regional magnetization relation was obtained by using the thermal spin average value. The properties of model were studied by means of programming language using the recursive solutions. The fixed point iteration method was employed while the program is running and the temperature dependences of magnetization and triple correlation function were obtained. In this system, the phase transitions of order paraemeter depend on Hamiltonian exchange interactions such as two-spin, three-spin and external magnetic field parameters. The dependence of phase transition is investigated extensively. Key Words: Phase Transitions; Ising Model; Husimi Lattice