Random crystal field effects on antiferromagnetic spin-1 Blume-Capel model

The outcome of the random crystal field effects on the antiferromagnetic spin-1 Blume-Capel model and external magnetic field are examined on the Bethe Lattice in terms of exact recursion relations. It is assumed that the crystal field is either turned on or off randomly with probability p and 1 - p, respectively. The phase diagrams are constructed from the thermal analysis of the order parameters with the coordination number z = 3 which corresponds to honeycomb lattice. It is explored that the system goes both second- and first-order phase transitions, along with the reentrant behavior and a few critical points. The reentrant behavior is stronger for lower values of p and disappears as p gets closer to 1.0. The first-order lines are observed to be either linked to the tricritical points or decomposed. The critical end points and double critical points are also observed.