Reentrant transitions and multicompensation phenomena of the exactly solvable mixed spin-S and spin-1/2 Ising model on decorated planar lattices

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 calculated for different planar lattices with arbitrary spins of decorating atoms. The main attention has been paid to the investigation of the reentrant behaviour and multicompensation phenomena in the systems. It was found that the crystal field anisotropy acting on the decorating spins together with the effect of the next-nearest neighbour interaction between the spin-12 sites may possibly lead to the reentrant transition with two or three critical temperatures. The region in which reentrant behaviour and multicompensation phenomena occur is studied in detail for the case of ferrimagnetically ordered systems.