Evaluating the effect of crystal field and transverse field on a 3/2 spin system using the Ising model

In the work reported here we looked at the magnetic behaviour of a 3/2 spin system with crystalline anisotropy and transverse field. The spin Hamiltonian considered here contains terms which cannot be commuted further, giving rise to important quantum effects: quantum fluctuations and thermal fluctuations. We used the mean field approximation method to determine the expressions of magnetization along the z (longitudinal) axis and the x (transverse) axis, as well as the partition function. The thermal variations mz and mx for different values of the transverse field show that the latter inhibits order along the z axis and encourages spin confinement in the transverse plane.