The diluted random field mixed spin Ising model: thermodynamical properties

Abstract

The diluted mixed spin Ising system consisting of spin-1/2 and spin-1 with a random field is studied by the use of the finite cluster approximation within the framework of a single-site cluster theory. The state equations are derived using a probability distribution method based on the use of Van der Waerden identities. In this approach, the complete phase diagrams are investigated for the simple cubic lattice, when the random field is bimodally and trimodally distributed. The internal energy, specific heat and susceptibility are also calculated for both kinds of probability distributions.

The diluted mixed spin‐1/2 and spin‐3/2 Ising model in a longitudinal random field

“…The tricritical behavior has been reported for a different system on the simple cubic lattices within the finite cluster approximation [48] and the square lattice within meanfield theory [49]. On the other hand, we have defined a critical value * p separating two qualitatively different behaviors of the system: for p less than * p , the system exhibits, at the ground state, a phase transition at finite critical value c H of the random field H. However, for p greater than * p , c H does not exist and the ordered state is stable at very low temperatures for any value of the random field strength.…”

Effect of the transverse field on the site-diluted Ising model in a longitudinal random field

“…Recently, some interest has been directed to the understanding of more complicated systems in the presence of random fields, i.e. the transverse Ising model [34][35][36], the amorphous Ising ferromagnet [37], the site-diluted Ising model [38,39], the semi-infinite Ising model [40,41], the decorated Ising model [42], the BlumeCapel model [43] and the mixed spin-Ising model [44,45]. The transverse Ising model in a random field has received some attentions in recent years [46][47][48][49][50].…”

The phase diagrams and the order parameters of the diluted transverse superlattice with antiferromagnetic interface coupling

“…In Ref. [15] the authors have studied the undiluted and the diluted mixed spin Ising system consisting of spinÀ 1 2 and spinÀ1 in a transverse random field with ferromagnetic coupling. Saber et al [16] have also studied the critical behavior of the diluted transverse spin 1 2 Ising film when the constant coupling between spins at the surfaces are different from those in the bulk.…”