Phase diagrams and magnetization behaviors of transverse random crystal field Ising model

Abstract

Within the framework of the effective field theory (EFT) and cutting approximation, the spin-1 transverse random crystal field Ising model is investigated for a square lattice. We discuss in detail the influence of transverse random crystal field concentration and crystal field ratio on the phase diagram and magnetization behavior. We give phase diagrams in T-Dx space and magnetization curves in m-T space. Under crystal field dilution condition, there exists the peak value of critical temperature in the direction of negative crystal field and reentrant phenomena in the direction of positive critical field. While choosing crystal field ratio α=+0.5 and α=-0.5, the range of magnetic ordered phase shrinks. In particular, we found, with decreasing of concentration, the peak value of critical temperature undergoes a crossover from negative to positive direction of transverse crystal field when the ratio α=-0.5. The magnetization behaviors have apparent difference for a given negative crystal field value when the crystal field ratio is different. We give a meaningful comparison with the results of Ising model with longitudinal dilution crystal field.

Three-dimensional Bose—Einstein condensate vortex solitons under optical lattice and harmonic confinements

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Phase diagrams of spin-3/2 Ising model in the presence of random crystal field within the effective field theory based on two approximations

“…A few examples of this kind are that the random-crystal field spin-1 Blume-Capel model was investigated by the lowest approximation of the cluster-variation method which is identical to the mean-field approximation [15] and in terms of recursion relations on the Bethe lattice [16] and the spin-1 transverse crystal field effects were considered in the EFT and cutting approximation for the spin-1 case. [17] The literature is quite vast for spin-1 models but the spin-3/2 case has not been considered as much.…”

Hysteresis Loops and Phase Diagrams of the Spin-1 Ising Model in a Transverse Crystal Field

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