The phase diagrams of the mixed-spin ternary-alloy consisting of half-integer spins: Standard-random approach

The ternary-alloy in the form ABpC1−p is investigated on the Bethe lattice with the odd numbered shells containing only A atoms (spin-12), while the even shells randomly containing either B (spin-32) or C (spin-52) atoms with different concentrations p and 1−p, respectively. The phase diagrams are calculated on the (p,kTc/JAB) and (R=|JAC|/JAB,kTc/JAB) planes for given values of R and p, respectively, with the coordination numbers z=3,4,5 and 6 by studying the thermal variations of the order-parameters. It is found that there exist a critical value of R, i.e. Rc≅0.653, which is independent of z. In addition, the critical temperatures increase as z increases. The present work is an extension of the previous work [1] and it only differs from it by the implementation technique of randomness into the model. The obtained phase diagrams are in agreement with the site-dependent random case [1] except at low temperatures. On the other hand, there is an overall agreement with the literature.