Topological Metamaterials,Chemical Reviews

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Topological Metamaterials
Chemical Reviews ( IF 51.4 ) Pub Date : 2023-05-24 , DOI: 10.1021/acs.chemrev.2c00800
Xiang Ni _{1,

2} , Simon Yves ₁ , Alex Krasnok ₃ , Andrea Alù _{1,

4,

5}

Affiliation

The topological properties of an object, associated with an integer called the topological invariant, are global features that cannot change continuously but only through abrupt variations, hence granting them intrinsic robustness. Engineered metamaterials (MMs) can be tailored to support highly nontrivial topological properties of their band structure, relative to their electronic, electromagnetic, acoustic and mechanical response, representing one of the major breakthroughs in physics over the past decade. Here, we review the foundations and the latest advances of topological photonic and phononic MMs, whose nontrivial wave interactions have become of great interest to a broad range of science disciplines, such as classical and quantum chemistry. We first introduce the basic concepts, including the notion of topological charge and geometric phase. We then discuss the topology of natural electronic materials, before reviewing their photonic/phononic topological MM analogues, including 2D topological MMs with and without time-reversal symmetry, Floquet topological insulators, 3D, higher-order, non-Hermitian and nonlinear topological MMs. We also discuss the topological aspects of scattering anomalies, chemical reactions and polaritons. This work aims at connecting the recent advances of topological concepts throughout a broad range of scientific areas and it highlights opportunities offered by topological MMs for the chemistry community and beyond.

中文翻译：

拓扑超材料

对象的拓扑属性与称为拓扑不变量的整数相关联，是全局特征，不能连续变化，只能通过突变变化，因此赋予它们内在的鲁棒性。工程超材料（MM）可以进行定制，以支持其能带结构相对于其电子、电磁、声学和机械响应的高度重要的拓扑特性，这是过去十年物理学的重大突破之一。在这里，我们回顾了拓扑光子和声子MM的基础和最新进展，其非平凡的波相互作用已经引起了广泛的科学学科（例如经典化学和量子化学）的极大兴趣。我们首先介绍一下基本概念，包括拓扑电荷和几何相位的概念。然后，我们讨论天然电子材料的拓扑，然后回顾它们的光子/声子拓扑MM类似物，包括具有和不具有时间反转对称性的2D拓扑MM、Floquet拓扑绝缘体、3D、高阶、非厄米和非线性拓扑MM。我们还讨论了散射异常、化学反应和极化子的拓扑方面。这项工作旨在将拓扑概念的最新进展与广泛的科学领域联系起来，并强调拓扑 MM 为化学界及其他领域提供的机会。包括具有或不具有时间反转对称性的 2D 拓扑 MM、Floquet 拓扑绝缘体、3D、高阶、非厄米特和非线性拓扑 MM。我们还讨论了散射异常、化学反应和极化子的拓扑方面。这项工作旨在将拓扑概念的最新进展与广泛的科学领域联系起来，并强调拓扑 MM 为化学界及其他领域提供的机会。包括具有或不具有时间反转对称性的 2D 拓扑 MM、Floquet 拓扑绝缘体、3D、高阶、非厄米特和非线性拓扑 MM。我们还讨论了散射异常、化学反应和极化子的拓扑方面。这项工作旨在将拓扑概念的最新进展与广泛的科学领域联系起来，并强调拓扑 MM 为化学界及其他领域提供的机会。

更新日期：2023-05-24

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