Uniaxial anisotropy effects in the mixed-spin Ising model on a decorated Bethe lattice

The ferrimagnetic mixed-spin Ising model on a decorated Bethe lattice with the coordination number q, consisting of three kinds of magnetic atoms, is exactly solved here. We mainly analyze the critical temperature curves and the sub-lattice and total magnetization curves in this model. The effect of uniaxial single-ion anisotropy acting on two different kinds of decorated atoms and next-nearest-neighbor interaction is taken into account in particular. It has been found that the critical temperature versus uniaxial single-ion anisotropy dependence is not a monotonically increasing function for some chosen parameters. And there is also a reentrant phase transition with the coordination number q equal to 4 in the narrow region of the uniaxial single-ion anisotropy.