Compensation temperature of a three-sublattice ferrimagnetic Heisenberg model

Using the double-time Green’s function method in combination with the random phase approximation and Anderson–Callen approximation, we investigate the magnetic properties of the ferrimagnetic Heisenberg model on a decorated square lattice. The effects of nearest-neighbor interactions and single-ion anisotropy on the compensation temperature are explored. Our results indicate that the next-nearest-neighbor interaction and/or single-ion anisotropy are not a necessary condition of the appearance of compensation temperature. When considering only the nearest-neighbor interaction, the system can also exhibit a compensation temperature. By comparing the impact of the nearest-neighbor interaction and single-ion anisotropy on the sublattice magnetizations of the system, a general condition of the appearance of compensation temperature is claimed.