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中文摘要：
文章回顾了几种Z2拓扑数的计算方法,并详细介绍了一种用非阿贝尔贝里联络表示绝缘体Z2不变量的计算方法.这种方法可以确定出一般能带绝缘体的拓扑性质,而不需要限定波函数的规范.利用这种新方法,文章作者计算了二维石墨烯（graphene）系统的Z2拓扑数,得到了和以前研究相一致的结论.
英文摘要：
We briefly review some of the equivalent ways of determining the Z2 invariant in 2D insulators. We introduce a new expression for this invariant in band insulators using non-Abelian Berry＇s connection. The new expression can be used to determine the topological nature of a general band insulator in a way that does not require any gauge fixing. By this means, we have recalculated the Z2 topological index for 2D graphene systems, and have obtained results consistent with previous studies.
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