Bimodal random crystal field distribution effects on the ferrimagnetic mixed spin-1/2 and spin-3/2 Blume–Capel model

The effects of bimodal random crystal field on the phase diagrams and magnetization curves of ferrimagnetic mixed spin-1/2 and spin-3/2 Blume–Capel model are examined by using the effective field theory with correlations for honeycomb lattice. The phase diagrams are obtained on the (Δ,kT/|J|), (Δ,Tcomp) and (p,kT/|J|) planes for given values of p and Δ, respectively. The model exhibits only the second-order phase transitions as in the Blume–Capel model with constant crystal fields. In addition, it was found that the model presents one or two compensation temperatures for appropriate values of random crystal field for given probability in contrast to constant crystal field case. Therefore, it is shown that the random crystal field considerably affects the thermal variations of net and sublattice magnetizations. - Highlights: ► Mixed spin-1/2 and spin-3/2 BC model with random crystal field was investigated. ► Effective-field theory with correlations was used in obtaining the critical temperatures. ► The phase diagrams of the model were shown for various planes. ► Randomness of the crystal field leads to emergence the compensation temperatures. ► It was found that the model exhibits only second-order phase transitions.