Abstract

The spin-3/2 anisotropic Heisenberg model with Dzyaloshinskii–Moriya interaction is studied by using the framework of the two-spin cluster approximation. The formalism is developed for lattices with general coordination number. However, we address our attention to the simple cubic lattice (q=6). The phase diagram of the system reveals the presence of tricritical points and the first and second-order phase transitions are obtained. The critical behavior is discussed and compared with the spin-1/2 and spin-1 Heisenberg systems.

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