Characterization of topological insulators based on the electronic polarization with spiral boundary conditions,Physical Review B

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Characterization of topological insulators based on the electronic polarization with spiral boundary conditions
Physical Review B ( IF 3.2 ) Pub Date : 2021-09-23 , DOI: 10.1103/physrevb.104.l121114
Masaaki Nakamura ₁ , Shohei Masuda ₁ , Satoshi Nishimoto _{2,

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Affiliation

We introduce the electronic polarization originally defined in one-dimensional lattice systems to characterize two-dimensional topological insulators. The main idea is to use spiral boundary conditions which sweep all lattice sites in one-dimensional order. We find that the sign of the polarization changes at topological transition points of the two-dimensional Wilson-Dirac model (the lattice version of the Bernevig-Hughes-Zhang model) in the same way as in one-dimensional systems. Thus the polarization plays the role of “order parameter” to characterize the topological insulating state and enables us to study topological phases in different dimensions in a unified way.

中文翻译：

基于螺旋边界条件电子极化的拓扑绝缘体表征

我们引入最初在一维晶格系统中定义的电子极化来表征二维拓扑绝缘体。主要思想是使用以一维顺序扫描所有晶格位置的螺旋边界条件。我们发现，在二维威尔逊-狄拉克模型（Bernevig-Hughes-Zhang 模型的晶格版本）的拓扑转变点处，极化的符号以与一维系统相同的方式变化。因此极化起到了“有序参数”的作用来表征拓扑绝缘状态，使我们能够以统一的方式研究不同维度的拓扑相。

更新日期：2021-09-23

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