Abstract

The three-dimensional mixed Ising spin system consisting of spin-1/2 and spin-1 with crystal field interactions exhibits tricritical behaviour. The influence of a transverse field on this behaviour is studied within the finite cluster approximation based on a single-site cluster theory. In order to expand the cluster identity of spin-1, we transformed the spin-1 to spin-1/2 representation containing Pauli operators. We derived the state equations applicable to structures with arbitrary coordination number N. The complete phase diagram in the case of a simple cubic lattice (N = 6), is investigated. The thermal dependence of the longitudinal and transverse sublattice magnetizations as well as those corresponding to the total magnetization and quadrupolar moments are also studied.

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