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本文总结了近几年来用格林函数方法研究氢键铁电体相变所取得的一些进展。首先讨论了在计入四体相互作用的赝自旋系统中,用玻色型格林函数求相关函数时,需用待定常数方法才能得到正确的结果。其次提出了根据序参数与温度之间的关系式,如何通过极值条件确定系统相变性质的方法。第三得到了赝自旋系统临界相变所满足的关系式和相图,以及系统一级铁电相变的产生是四体相互作用贡献的结果。In this paper, our study on the hydrogen-bond ferroelectrics with Green's function method is reviewed. First we show how to apply the bose-type Green's function method properly to the pseudo-spin model. Then we introduce the four-body interaction in the pseudo-spin model in order to treat the first order phase transition. Analysing the equation describing the phase transition process, we propose a new condition to determine the nature of the system. Also we obtain the critical value of the model parameters and the phase diagram. Our conclusion is that the first order phase transition is induced by the fourbody interaction.
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