Abstract
The ground-state phase diagrams and the magnetization curves of the spin- 3 2 transverse Ising model with longitudinal crystal field D are studied within the framework of mean-field theory (MFT) and effective-field theory (EFT), respectively. A simple calculation method of the internal energy is presented within the framework of EFT. In the ground-state phase diagram given by using EFT, the second-order phase transition line is divided into two segments by the first-order phase transition line: one starts from a critical end point and extends to D → - ∞ ; the other one starts from a tricritical point and extends to D → + ∞ , while it does not occur in MFT. Some interesting phenomena of the first-order phase transition from one ordered phase to another one ordered have been found.
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