Universal phase diagrams for the quantum spin Hall systems
Universal phase diagrams for the quantum spin Hall systems
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DOI：
10.1103/physrevb.78.165313
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发表时间：
2008-10-01
影响因子：
3.7
通讯作者：
Kuga, Shun-ichi
中科院分区：
文献类型：
--
作者：
Murakami, Shuichi;Kuga, Shun-ichi
我们描述了三维（3D）量子自旋霍尔相位产生的绝缘体相通过改变外部参数。在没有反转对称的3D系统中，在具有体隙的两个相之间应该出现无隙相。无带隙点是单极子和反单极子（在k空间中），它们的拓扑性质是这种无带隙相的来源。一般来说，当外部参数从普通绝缘体相位改变时，产生两个双稳态-反稳态对，系统变得无间隙。当参数进一步改变时，间隙闭合点（单极子和反单极子）在k空间中移动。它们最终成对湮灭，从成对的创造物中改变伙伴，系统再次打开一个间隙进入量子自旋霍尔阶段。
We describe how the three-dimensional (3D) quantum spin Hall phase arises from the insulator phase by changing an external parameter. In 3D systems without inversion symmetry, a gapless phase should appear between the two phases with a bulk gap. The gapless points are monopoles and antimonopoles (in k space), whose topological nature is the source of this gapless phase. In general, when the external parameter is changed from the ordinary insulator phase, two monopole-antimonopole pairs are created and the system becomes gapless. The gap-closing points (monopoles and antimonopoles) then move in the k space as the parameter is changed further. They eventually annihilate in pairs, with changing partners from the pair creations, and the system opens a gap again entering into the quantum spin Hall phase.