Topological aspects of the quantum spin-Hall effect in graphene:: Z2 topological order and spin Chern number
Topological aspects of the quantum spin-Hall effect in graphene:: Z2 topological order and spin Chern number
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DOI：
10.1103/physrevb.75.121403
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发表时间：
2007-03-01
影响因子：
3.7
通讯作者：
Hatsugai, Yasuhiro
中科院分区：
文献类型：
--
作者：
Fukui, Takahiro;Hatsugai, Yasuhiro
对于具有自旋轨道耦合的一般时间反演不变系统，我们阐明了量子自旋霍尔效应中Z（2）拓扑序与自旋陈数（SChN）之间的密切关系.事实证明，全局规范变换将具有不同SChN（偶数）模4的扇区连接起来，这意味着SChN和Z（2）拓扑序产生相同的分类。我们提出了一种计算SChN的方法，并在石墨烯的单平面和双平面中进行了演示。
For generic time-reversal-invariant systems with spin-orbit couplings, we clarify a close relationship between the Z(2) topological order and the spin Chern number (SChN) in the quantum spin-Hall effect. It turns out that a global gauge transformation connects sectors with different SChNs (even integers) modulo 4, which implies that the SChN and Z(2) topological orders yield the same classification. We present a method of computing the SChN and demonstrate it in single and double planes of graphene.