Compensation temperature of the two-dimension mixed spin-1 and spin-3/2 anisotropic Heisenberg ferrimagnet

• The adjoint effects of both single-ion and exchange anisotropies on a two-dimensional ferrimagnetic lattice are investigated.
• The necessary condition for the compensation point to appear is that the single-ion anisotropy should not be less than a minimum value.
• The exchange anisotropy merely slightly raises the compensation point.
• The internal energy, free energy and entropy as functions of temperature of the studied structure are evaluated.
• One is unable to judge the compensation point occurs from these thermodynamic functions.

We study a two-dimensional Heisenberg ferrimagnet composed of spin-1 and spin-3/2 sublattices considering both exchange and single-ion anisotropies. The adjoint effects of the two anisotropies on the possible compensation point are investigated. It is concluded that a primary condition for the compensation point to appear is that the single-ion anisotropy of the smaller spins should be nonzero and be greater than a certain value which depends on other parameters. The exchange anisotropy can raise the compensation point slightly. The thermodynamic functions are evaluated. All the thermodynamic functions with various parameter values are smooth no matter whether there is a compensation point or not. Thus, from the thermodynamic functions, one is unable to judge if the compensation occurs.