Z2 topological order and the quantum spin Hall effect -: art. no. 146802
Z2 topological order and the quantum spin Hall effect -: art. no. 146802
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DOI：
10.1103/physrevlett.95.146802
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发表时间：
2005-09-30
影响因子：
8.6
通讯作者：
Mele, EJ
中科院分区：
文献类型：
--
作者：
Kane, CL;Mele, EJ
量子自旋霍尔（QSH）相是一种时间反转不变的电子态，具有体电子带隙，支持电荷和自旋在无带隙边缘态中的传输。我们发现，这个阶段是与一个新的Z（2）拓扑不变量，这使它区别于普通的绝缘体。Z（2）分类是为时间反演不变的哈密顿量定义的，类似于量子霍尔效应的陈数分类。我们建立了石墨烯双带模型中QSH相的Z（2）阶，并提出了适用于多带和相互作用系统的形式化的推广。
The quantum spin Hall (QSH) phase is a time reversal invariant electronic state with a bulk electronic band gap that supports the transport of charge and spin in gapless edge states. We show that this phase is associated with a novel Z(2) topological invariant, which distinguishes it from an ordinary insulator. The Z(2) classification, which is defined for time reversal invariant Hamiltonians, is analogous to the Chern number classification of the quantum Hall effect. We establish the Z(2) order of the QSH phase in the two band model of graphene and propose a generalization of the formalism applicable to multiband and interacting systems.