Decorated ferrimagnetic Ising model with a random crystal field

A mean-field approximation is used to study the effects of random crystal field on the critical behaviour of decorated ferrimagnetic Ising model, in which the two magnetic atoms A and B have spins σA=12 and SB=1SB=1, respectively. The results indicate that there may exist some interesting phenomena in the system, such as the appearance of a new ferrimagnetic phase, namely partly ferrimagnetic phase, and the possibility of one or two compensation temperatures. Re-entrant phenomena can be seen for appropriate ranges of crystal field. Phase diagrams and magnetization curves are investigated in details.