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

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-D-x 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 alpha = +0.5 and alpha = -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 alpha = -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.