中文摘要：

本文首先对具有三体相互作用的一维自旋链系统的哈密顿量进行了对角化．然后通过一个旋转操作求解了系统基态的几何相位，通过数值计算几何相位及其导数随外界参数的变化，考虑三体相互作用对几何相位以及量子相变的影响，结果表明几何相位可以很好的用来表征该系统中的量子相变，并且发现三体相互作用不但引起相变点平移，而且可以产生新的临界点．

英文摘要：

In this paper, we diagonalize the Hamiltonian of the one-dimensional spin chain system with three-body interaction. Then we solve geometric phase of ground state in the system through a rotating operation. By the numerical calculation of the geometric phase and its derivative, we consider the three-body interaction effects on the geometric phase and quantum phase transition, the results show that the geometric phase can be well used to characterize quantum phase transition in this system, and find that three-body interaction not only can move the criticality region, but also can generate a new critical point.