THE RANDOM-MIXED-BOND SPIN-1 ISING-MODEL WITH A SINGLE-ION-ANISOTROPY IN A TRANSVERSE FIELD

In the light of the effective-field theory, the present paper attempts to discuss the investigation done into the phase diagrams of a random nearest-neighbour interaction spin-1 Ising model with a single-ion anisotropy in an applied transverse field on the honeycomb lattice. The interactions are assumed to be independent random variables with distribution P(J(ij)) = pdelta(J(ij) - J1) + (1 - p)delta(J(ij) - J2), where J1 > 0 and \J2/J1\ less-than-or-equal-to 1. We find a number of interesting phenomena, such as two different types of re-entrant phenomenon due to the competition between the random bond and the negative single-ion anisotropy parameter, as well as the usual frustration of J(ij). The influence of a transverse field on the behaviours of the tricritical point and re-entrant transition is also discussed in this paper.