A theoretical study of the spin-((3)/(2)) Ising model in a random field with crystal field

A spin-((3)/(2)) random-field Ising model with a crystal field on the honeycomb lattice is studied within the framework of the effective-field theory with correlations. We have investigated the effect of the crystal field on the phase diagrams, magnetizations, quadrupolar moments of the system. The phase diagram exhibits a rich variety of behaviors: the reentrant phenomena and the existence of tricritical points