论文标题
拓扑超材料
Topological Metamaterials
论文作者
论文摘要
过去十年中物理学中最重要的突破之一是发现，可以通过工程化的超材料（MMS）在我们的意愿下设计和制造具有非平凡拓扑特性的电子，电磁，声学和机械响应的材料。在这里，我们回顾了拓扑光子学，声学和机械MMS的基础和最先进的进步。我们讨论拓扑MMS如何在广泛的跨学科科学学科（例如古典和量子化学）的跨学科科学学科中引起物理，工程，工程学的非平凡波现象。我们首先介绍拓扑材料的基础以及其特殊特征背后的主要概念，包括拓扑电荷和几何阶段的概念。然后，我们讨论自然拓扑材料中电子带结构的拓扑，例如拓扑绝缘子以及无间隙狄拉克和Weyl半学。 Based on these concepts, we review the concept, design and response of topologically nontrivial MMs in photonics and phononics, including topological phases in 2D MMs with and without time-reversal symmetry, Floquet TIs based on spatial and temporal modulation, topological phases in 3D MMs, higher-order topological phases in MMs, non-Hermitian and nonlinear topological MMs and the topological features of scattering anomalies.我们还讨论了在其他相关环境中出现的拓扑特性，例如化学反应和极化子的拓扑方面。这项调查旨在将与拓扑概念相关的广泛科学领域的最新进展联系起来，并突出了拓扑MMS为整个化学社区提供的机会。
One of the most significant breakthroughs in physics of the last decade has been the discovery that materials with non-trivial topological properties for electronic, electromagnetic, acoustic and mechanical responses can be designed and manufactured at our will through engineered metamaterials (MMs). Here, we review the foundation and the state-of-the-art advances of topological photonics, acoustics and mechanical MMs. We discuss how topological MMs enable nontrivial wave phenomena in physics, engineering, of great interest for a broad range of interdisciplinary science disciplines such as classical and quantum chemistry. We first introduce the foundations of topological materials and the main concepts behind their peculiar features, including the concepts of topological charge and geometric phase. We then discuss the topology of electronic band structures in natural topological materials, like topological insulators and gapless Dirac and Weyl semimetals. Based on these concepts, we review the concept, design and response of topologically nontrivial MMs in photonics and phononics, including topological phases in 2D MMs with and without time-reversal symmetry, Floquet TIs based on spatial and temporal modulation, topological phases in 3D MMs, higher-order topological phases in MMs, non-Hermitian and nonlinear topological MMs and the topological features of scattering anomalies. We also discuss the topological properties emerging in other related contexts, such as the topological aspects of chemical reactions and polaritons. This survey aims at connecting the recent advances in a broad range of scientific areas associated with topological concepts, and highlights opportunities offered by topological MMs for the chemistry community at large.
