The Critical Properties And Magnetization Behaviors Of Transverse Ising Model With Crystal Field In A Random Magnetic Field

Within the framework of the effective field theory (EFT) and cutting approximation, Firstly, we study the critical properties of transverse Ising model with crystal field in a trimodal field. The change of transverse field and tirmodal magnetic parameter can affect the tricritical point (TCP), the second-order phase and the magnetic field degeneration at ground state in T ? h space. Moreover, the transverse field and a proper trimodal parameter can depress the TCP. But the large negative crystal field and a proper trimodal parameter lead to occurrence of the TCP. In T ? D space, a large external magnetic field and a proper trimodal parameter can depress the TCP and there exist reentrant phenomenon when trimodal parameter is smaller.Secondly, the critical properties of transverse Ising model with crystal field in bimodal field are investigated. The phase diagrams take on new characteristics. The TCP is always existent in T ? D space, which the TCP appears in smaller or larger range of external magnetic field h/ J values. In T ? h space, a larger or a smaller negative crystal field can appear the TCP. The TCP is depressed with increasing of transverse field and the second-order phase transition line forms a mushroom-like or bow-like region with the larger negative crystal field.Finally, we discuss the magnetization behaviors of mixed spin transverse Ising model with crystal field in bimodal field. In M ? Tspace, a proper value of crystal field can produce single or double compensation point. The double compensation point is depressed and the range of crystal field that can cause compensation point becomes smaller due to the small transverse field. There are not any compensation behaviors in the presence of larger transverse field in M ? h space. Meanwhile the magnetization will tend to zero with increasing of crystal field. There appears double compensation point by means of bimodal field. If transverse field is large enough, there is not appearing compensation behavior however the negative crystal field changes.