Topological two-dimensional polymers,Chemical Society Reviews

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Topological two-dimensional polymers
Chemical Society Reviews ( IF 40.4 ) Pub Date : 2020-03-24 , DOI: 10.1039/c9cs00893d
Maximilian A. Springer _{1,

2,

3,

4,

5} , Tsai-Jung Liu _{4,

5,

6,

7} , Agnieszka Kuc _{1,

2,

3,

4} , Thomas Heine _{1,

2,

3,

4,

5}

Affiliation

There are more than 200 two-dimensional (2D) networks with different topologies. The structural topology of a 2D network defines its electronic structure. Including the electronic topological properties, it gives rise to Dirac cones, topological flat bands and topological insulators. In this Tutorial Review, we show how electronic properties of 2D networks can be calculated by means of a tight-binding approach, and how these properties change when 2^nd-neighbour interactions and spin–orbit coupling are included. We explain how to determine whether or not the resulting electronic features have topological signatures by calculation of Chern numbers, Z₂ invariants, and by the nanoribbon approach. This tutorial gives suggestions how such topological properties could be realized in explicit atomistic chemical 2D systems made of molecular frameworks, in particular in 2D polymers, where the edges and vertices of a given 2D net are substituted by properly selected molecular building blocks and stitched together in such a way that long-range π-conjugation is retained.

中文翻译：

拓扑二维聚合物

有200多个具有不同拓扑的二维（2D）网络。2D网络的结构拓扑定义了其电子结构。包括电子拓扑特性，它产生了狄拉克锥，拓扑平坦带和拓扑绝缘体。在本教程回顾中，我们展示了如何通过紧密绑定方法来计算2D网络的电子特性，以及当包含^第二邻域相互作用和自旋轨道耦合时这些特性如何变化。我们解释了如何通过计算Chern数Z ₂来确定所得的电子特征是否具有拓扑特征。不变性，并通过纳米带方法。这个教程提供建议如何这样拓扑性质可以在2D聚合物，其中一个给定的2D网的边缘和顶点由适当选择的分子结构单元中取代的和缝合在一起制成分子框架，特别明确的原子论化学2D系统来实现这样可以保留远距离的π共轭。

更新日期：2020-04-24

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