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arXiv 1102.5617cond-mat.mtrl-sci
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基于单带U(1)Chern数的带状绝缘子拓扑特性分类方案

A Scheme to Classify Topological Property of Band Insulator Based On One-band U(1) Chern Number

Yidong Wu

摘要:

拓扑绝缘体是近年来发现的一种物质相。Kane和Mele提出这个相位通过Z2拓扑不变量与普通的带绝缘体区分开来。2几位作者试图将这个Z2不变量与Chern数联系起来。Roy提出了一种通过两个简并带中的一个简并带的Chern数或单带Chern数(OBChN)来计算Z2的方法。然而,除了\from的K理论的拓扑考虑外,他没有给出他的Z ~ 2与文献[2]中的Z ~ 2等价的具体证明。因此,OBChN的重要性还没有得到社会的认可。在这封信中,我们证明了OBChN确定了文献[2]中的Z2。说明了OBChN不仅是一种有效的TI识别工具,而且是对所有时反不变带状绝缘子拓扑性质进行分类的自然判据。更重要的是,我们发现在三维TI中的场可以与具有磁性的磁场等同。

英文摘要:

Topological insulator(TI) is a phase of matter discovered recently. Kane and Mele proposed this phase is distinguished from the ordinary band insulator by a Z2 topological invariant.2 Several authors have try to related this Z2 invariant to Chern numbers. Roy find a way to calculate Z2 by Chern Number of one of the two degenerate Bands or one-band Chern number(OBChN). However, he give no concrete concrete proof of the equivalence of his Z2 and the Z2 in ref[2] beside \from the topological considerations of K theory". So the importance of OBChN hasn't been recognized by the community. In this letter we prove OBChN determines the Z2 in ref[2]. Then we illustrate OBChN is not only an useful tool to identify TI but also a natural criterion to classify topological property of all time-reversal invariant band insulators. More importantly we find a field in three dimensional TI can be identified with magnetic field with magnetic monopole.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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