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