论文标题
带表示和拓扑量子化学
Band Representations and Topological Quantum Chemistry
论文作者
论文摘要
在本文中，我们提供了拓扑量子化学和拓扑结晶绝缘子理论的教学回顾。我们首先概述了晶体对称组在位置和动量空间中的性质。接下来，我们介绍了频带表示的概念，该概念量化了拓扑琐碎的带结构的对称性。通过将频带表示与对频段在动量空间中频段的连接性的对称约束相结合，我们表明了如何将拓扑非平凡的频带分类和分类。我们介绍了使用此范式发现的新拓扑阶段的几个例子，并以对未来发展的前景结论。
In this article, we provide a pedagogical review of the theory of topological quantum chemistry and topological crystalline insulators. We begin with an overview of the properties of crystal symmetry groups in position and momentum space. Next, we introduce the concept of a band representation, which quantifies the symmetry of topologically trivial band structures. By combining band representations with symmetry constraints on the connectivity of bands in momentum space, we show how topologically nontrivial bands can be catalogued and classified. We present several examples of new topological phases discovered using this paradigm, and conclude with an outlook towards future developments.
