Abstract
The diluted mixed-spin transverse Ising system consisting of spin- 1 2 and spin-1 with crystal field interactions is studied by the use of an effective field method 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. The complete phase diagrams are investigated in the case of the honeycomb lattice. In particular, the influence of the crystal field interactions and the concentration of magnetic sites are examined in detail. We find that the system exhibits a variety of interesting features, especially near the percolation threshold.
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