We use the Pair Approximation method to analyze the magnetic and magnetocaloric behaviors of diluted mixed spin SA = 1 and spin SB = 1/2 with the anisotropic Heisenberg model, on a cubic lattice with coordination number z=6. Our system is described in presence of an external magnetic field; the phase diagram and thermodynamic properties related to the concentration of magnetic atom (A or B) and the single ion anisotropy are constructed and discussed. Special attention is paid to magnetocaloric properties provided by isothermal entropy change as well as the cooling capacity. These cooling power keys are plotted and discussed as a function of interaction anisotropy and magnetic component concentration of two sublattices ions A and B. Numerical results show a double peak structure in the entropy change curve and the inverse magnetocaloric effect related to the presence of the negative single-ion anisotropy.
We studied some magnetic behaviors of the Ising model in a triangular spin tube using the effective field theory (EFT) with correlations. We examined the effects of exchange anisotropy, and temperature T on the magnetic properties of the spin ½ Ising model in a triangular spin tube, particularly for isotherm magnetization, spontaneous magnetization, and magnetic susceptibility. We investigated the magnetic properties of the triangular spin ½ tube in detail. At low temperature, magnetization curves of a triangular spin ½ tube of the Ising model with the intra-triangular J ┴, and inter-triangular J // interaction exchange are examined within the behavior magnetic. It is shown that the developed model satisfactorily describes all pronounced features of the low-temperature magnetization process and the magnetothermodynamics such as abrupt changes of the isothermal magnetization curves, a giant magnetocaloric effect. Among the most notable features of zero-temperature magnetization curves, one could mention fractional magnetization plateaus, quantum spin liquids, and macroscopic magnetization jumps, which can be found first of all in frustrated quantum Heisenberg spin models.
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