Characterization of three-dimensional topological insulators by two-dimensional invariants
Characterization of three-dimensional topological insulators by two-dimensional invariants
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DOI：
10.1088/1367-2630/12/6/065009
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发表时间：
2010-06
影响因子：
3.3
通讯作者：
R. Roy
中科院分区：
文献类型：
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作者：
R. Roy
布洛赫绝缘体中非平凡拓扑相的三维预测最近得到了实验验证。在这里，我提供了一张图，通过在动量空间中变形合适的二维平面，并使用基于陈恩数的二维Z2不变量公式，获得三维（3D）拓扑绝缘子的Z2不变量。通过Z2不变量的表述与二维自旋霍尔电导量子化之间的联系，阐明了该公式的物理解释。
The prediction of nontrivial topological phases in Bloch insulators in three dimensions has recently been experimentally verified. Here, I provide a picture for obtaining the Z2 invariants for a three-dimensional (3D) topological insulator by deforming suitable 2D planes in momentum space and by using a formula for the 2D Z2 invariant based on the Chern number. The physical interpretation of this formula is also clarified through the connection between this formulation of the Z2 invariant and the quantization of spin Hall conductance in two dimensions.