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| Z2拓扑不变量与拓扑绝缘体 | |
| 引用本文： | 余 睿, 方 忠, 戴 希. Z2拓扑不变量与拓扑绝缘体[J]. 物理, 2011, 40(07): 462-468. |
| 作者姓名： | 余 睿 方 忠 戴 希 |
| 作者单位： | 中国科学院物理研究所 北京 100190 |
| 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. |
| 关 键 词： | 非阿贝尔贝里联络 拓扑绝缘体 Z2拓扑数 |
Z2 topological invariant and topological insulators |
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| Z2 topological invariant and topological insulators[J]. PHYSICS, 2011, 40(07): 462-468. | |
| Affiliation: | 中国科学院物理研究所 北京 100190 |
| Abstract: | 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. |
| Keywords: | non-Abelian Berry's connection topological insulator Z2 topological invariant |
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