Higher-order topology in twisted multilayer systems: A review

doi:10.1088/1674-1056/ada885

中国物理B ›› 2025, Vol. 34 ›› Issue (3): 37301-037301.doi: 10.1088/1674-1056/ada885

所属专题： TOPICAL REVIEW — Moiré physics in two-dimensional materials

Higher-order topology in twisted multilayer systems: A review

Chunbo Hua(花春波)^1,2 and Dong-Hui Xu(许东辉)^3,4,†

1 Key Laboratory of Artificial Micro- and Nanostructures of Ministry of Education and School of Physics and Technology, Wuhan University, Wuhan 430072, China;
2 School of Electronic and Information Engineering, Hubei University of Science and Technology, Xianning 437100, China;
3 Department of Physics and Chongqing Key Laboratory for Strongly Coupled Physics, Chongqing University, Chongqing 400044, China;
4 Center of Quantum Materials and Devices, Chongqing University, Chongqing 400044, China

收稿日期:2024-10-21 修回日期:2025-01-08 接受日期:2025-01-10 发布日期:2025-03-15
通讯作者: Dong-Hui Xu E-mail:donghuixu@cqu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12304539, 12074108, 12474151, and 12347101), the Natural Science Foundation of Chongqing (Grant No. CSTB2022NSCQ-MSX0568), and Beijing National Laboratory for Condensed Matter Physics (Grant No. 2024BNLCMPKF025).

Higher-order topology in twisted multilayer systems: A review

Chunbo Hua(花春波)^1,2 and Dong-Hui Xu(许东辉)^3,4,†

1 Key Laboratory of Artificial Micro- and Nanostructures of Ministry of Education and School of Physics and Technology, Wuhan University, Wuhan 430072, China;
2 School of Electronic and Information Engineering, Hubei University of Science and Technology, Xianning 437100, China;
3 Department of Physics and Chongqing Key Laboratory for Strongly Coupled Physics, Chongqing University, Chongqing 400044, China;
4 Center of Quantum Materials and Devices, Chongqing University, Chongqing 400044, China

Received:2024-10-21 Revised:2025-01-08 Accepted:2025-01-10 Published:2025-03-15
Contact: Dong-Hui Xu E-mail:donghuixu@cqu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12304539, 12074108, 12474151, and 12347101), the Natural Science Foundation of Chongqing (Grant No. CSTB2022NSCQ-MSX0568), and Beijing National Laboratory for Condensed Matter Physics (Grant No. 2024BNLCMPKF025).

摘要/Abstract

摘要： In recent years, there has been a surge of interest in higher-order topological phases (HOTPs) across various disciplines within the field of physics. These unique phases are characterized by their ability to harbor topological protected boundary states at lower-dimensional boundaries, a distinguishing feature that sets them apart from conventional topological phases and is attributed to the higher-order bulk-boundary correspondence. Two-dimensional (2D) twisted systems offer an optimal platform for investigating HOTPs, owing to their strong controllability and experimental feasibility. Here, we provide a comprehensive overview of the latest research advancements on HOTPs in 2D twisted multilayer systems. We will mainly review the HOTPs in electronic, magnonic, acoustic, photonic and mechanical twisted systems, and finally provide a perspective of this topic.

关键词: higher-order topology, twisted multilayer systems, van der Waals materials, corner states

Abstract: In recent years, there has been a surge of interest in higher-order topological phases (HOTPs) across various disciplines within the field of physics. These unique phases are characterized by their ability to harbor topological protected boundary states at lower-dimensional boundaries, a distinguishing feature that sets them apart from conventional topological phases and is attributed to the higher-order bulk-boundary correspondence. Two-dimensional (2D) twisted systems offer an optimal platform for investigating HOTPs, owing to their strong controllability and experimental feasibility. Here, we provide a comprehensive overview of the latest research advancements on HOTPs in 2D twisted multilayer systems. We will mainly review the HOTPs in electronic, magnonic, acoustic, photonic and mechanical twisted systems, and finally provide a perspective of this topic.

Key words: higher-order topology, twisted multilayer systems, van der Waals materials, corner states

中图分类号: (Superlattices)

73.21.Cd

73.22.Pr (Electronic structure of graphene)

Chunbo Hua(花春波) and Dong-Hui Xu(许东辉). Higher-order topology in twisted multilayer systems: A review[J]. 中国物理B, 2025, 34(3): 37301-037301.

Chunbo Hua(花春波) and Dong-Hui Xu(许东辉). Higher-order topology in twisted multilayer systems: A review[J]. Chin. Phys. B, 2025, 34(3): 37301-037301.

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Higher-order topology in twisted multilayer systems: A review

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