In this paper, we present a comprehensive investigation of the effects of the transverse correlation function(TCF)on the thermodynamic properties of Heisenberg antiferromagnetic(AFM) and ferromagnetic(FM) systems with cubic lattices. The TCF of an FM system is positive and increases with temperature, while that of an AFM system is negative and decreases with temperature. The TCF lowers internal energy, entropy and specific heat. It always raises the free energy of an FM system but raises that of an AFM system only above a specific temperature when the spin quantum number is S ≥ 1.Comparisons between the effects of the TCFs on the FM and AFM systems are made where possible.
