Quantum spin Hall effect in three dimensional materials:: Lattice computation of Z2 topological invariants and its application to Bi and Sb

被引：191
|
作者：
Fukui, Takahiro [1 ]
Hatsugai, Yasuhiro
机构：
[1] Ibaraki Univ, Dept Math Sci, Mito, Ibaraki 3108512, Japan
[2] Univ Tokyo, Dept Appl Phys, Tokyo 1138656, Japan
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2007年 / 76卷 / 05期
关键词：
quantum spin Hall effect; time reversal symmetry; Z(2) topological invariant; chem number; lattice gauge theory;
D O I：
10.1143/JPSJ.76.053702
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We derive an efficient formula for Z(2) topological invariants characterizing the quantum spin Hall effect. It is defined in a lattice Brillouin zone, which enables us to implement numerical calculations for realistic models even in three dimensions. Based on this, we study the quantum spin Hall effect in Bi and Sb in quasi-two and three dimensions using a tight-binding model.
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页数：5
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