Bulk-Edge Correspondence for Chern Topological Phases: A Viewpoint from a Generalized Index Theorem
Bulk-Edge Correspondence for Chern Topological Phases: A Viewpoint from a Generalized Index Theorem
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DOI：
10.1143/jpsj.81.114602
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发表时间：
2012-06
影响因子：
1.7
通讯作者：
T. Fukui;Ken Shiozaki;T. Fujiwara;S. Fujimoto
中科院分区：
文献类型：
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作者：
T. Fukui;Ken Shiozaki;T. Fujiwara;S. Fujimoto
本文从开放空间的指数定理出发，研究了不具有时间反演对称性的拓扑绝缘体（超导体）的体-边对应。我们假设通用哈密顿不仅与线性色散，但也与高阶衍生物所产生的通用能带结构。使用一个广义指数定理有效的这样的系统，我们显示的边缘状态和陈数指定的散装系统的谱流之间的等价性。
We explore the bulk-edge correspondence for topological insulators (superconductors) without time-reversal symmetry from the viewpoint of the index theorem for open spaces. We assume generic Hamiltonians not only with a linear dispersion but also with higher order derivatives arising from generic band structures. Using a generalized index theorem valid for such systems, we show the equivalence between the spectral flow of the edge states and the Chern numbers specifying the bulk systems.