论文标题
乐队拓扑的对称指标
Symmetry indicators of band topology
论文作者
论文摘要
拓扑材料是具有非平凡地面纠缠的量子材料，只要尊重某些规则，例如在对称下的不变性和能量差距的存在，它们就被无法移动。它们展示了非常规的特性，例如鲁棒异常的表面状态和量化的物理反应。理解拓扑材料的激烈研究工作使现代化的视角对电子带结构中对称表示的历史理论有了现代化的观点，并激发了一般理论的发展，该理论仅使用对称数据来有效诊断拓扑材料。一个例子是带拓扑的对称指标的理论，这是本局部综述的重点。我们将旨在为理论中的关键概念和结构提供教学介绍，并简要介绍最新发展。
Topological materials are quantum materials with nontrivial ground-state entanglement that are irremovable so long as certain rules, like invariance under symmetries and the existence of an energy gap, are respected. They showcase unconventional properties like robust anomalous surface states and quantized physical responses. The intense research efforts in understanding topological materials result in a modernized perspective on the decades-old theory of symmetry representations in electronic band structures, and inspire the development of general theories that enable the efficient diagnosis of topological materials using only symmetry data. One example is the theory of symmetry indicators of band topology, which is the focus of this topical review. We will aim at providing a pedagogical introduction to the key concepts and constructions in the theory, alongside with a brief summary of the latest development.
