Second Chern crystals with inherently non-trivial topology
作者机构：School of Physics and State Key Laboratory of Optoelectronic Materials and Technologies Sun Yat-sen University Department of Physics The Hong Kong University of Science and Technology
出 版 物：《National Science Review》 (国家科学评论(英文版))
年 卷 期：2023年第10卷第8期
页 面：148-155页
核心收录：
学科分类：07[理学] 070205[理学-凝聚态物理] 08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0703[理学-化学] 0702[理学-物理学]
基 金：supported by the National Natural Science Foundation of China(12074443, 62035016 and 11874435) the Research Grants Council Hong Kong(AoE/P-502/20 and N_HKUST608/17) the Guangdong Basic and Applied Basic Research Foundation(2019B151502036) the Guangzhou Science,Technology and Innovation Commission(201904010223 and 202102020693) Fundamental Research Funds for the Central Universities(2021qntd27 and 22qntd3001)
主 题：topological photonics synthetic dimension photonic crystals dislocation mode
摘 要：Chern insulators have been generalized to many classical wave systems and thereby lead to many potential applications such as robust waveguides, quantum computation and high-performance lasers. However, the band structure of a material can be either topologically trivial or non-trivial, depending on how the crystal structure is designed. Here, we propose a second Chern crystal in a four-dimensional parameter space by introducing two extra synthetic translation dimensions. Since the topology of the bulk bands in the synthetic translation space is intrinsically non-trivial, our proposed four-dimensional crystal is guaranteed to be topologically non-trivial regardless of the crystal’s detailed configuration. We derive the topologically protected modes on the lower dimensional boundaries of such a crystal via dimension ***, we observe the one-dimensional gapless dislocation modes and confirm their robustness in experiments. Our findings provide novel perspectives on topologically non-trivial crystals and may inspire designs of classical wave devices.
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