On the existence of compensation temperature in 2d mixed-spin Ising ferrimagnets: an exactly solvable model

We introduce an exactly solvable mixed spins σ=((1)/(2)) and arbitrary spins S (S>((1)/(2))) Ising ferrimagnet. Although the system with only antiferromagnetic interaction J1 between pairs of nearest-neighbor spins σ and S and crystal-field interaction Δ does not exhibit a compensation point, the system with additional interactions between pairs of nearest-neighbor spins σ, does, in agreement with Buendia and Novotny's conjecture. Finally, we discuss the origin of compensation phenomenon