Recent moiré configurations provide a new platform for tunable and sensitive photonic responses, as their enhanced light–matter interactions originate from the relative displacement or rotation angle in a stacking bilayer or multilayer periodic array. However, previous findings are mostly focused on atomically thin condensed matter, with limitations on the fabrication of multilayer structures and the control of rotation angles. Structured microwave moiré configurations are still difficult to realize. Here, we design a novel moiré structure, which presents unprecedented capability in the manipulation of light–matter interactions. Based on the effective medium theory and S-parameter retrieval process, the rotation matrix is introduced into the dispersion relation to analyze the underlying physical mechanism, where the permittivity tensor transforms from a diagonal matrix to a fully populated one, whereas the permeability tensor evolves from a unit matrix to a diagonal one and finally becomes fully filled, so that the electromagnetic responses change drastically as a result of stacking and rotation. Besides, the experiment and simulation results reveal hybridization of eigenmodes, drastic manipulation of surface states, and magic angle properties by controlling the mutual rotation angles between two isolated layers. Here, not only a more precisely controllable bilayer hyperbolic metasurface is introduced to moiré physics, the findings also open up a new avenue to realize flat bands at arbitrary frequencies, which shows great potential in active engineering of surface waves and designing multifunctional plasmonic devices.

Yi Liu;Chunmei Ouyang;Quan Xu;Xiaoqiang Su;Quanlong Yang;Jiajun Ma;Yanfeng Li;Zhen Tian;Jianqiang Gu;Liyuan Liu;Jiaguang Han;Yunlong Shi;Weili Zhang

Center for Terahertz Waves and College of Precision Instrument and Optoelectronics Engineering, Key Laboratory of Optoelectronic Information Technology (Ministry of Education of China), Tianjin University, Tianjin 300072, China;Institute of Solid State Physics, College of Physics and Electronic Science, Shanxi Province Key Laboratory of Microstructure Electromagnetic Functional Materials, Shanxi Datong University, Datong 037009, China;Nonlinear Physics Centre, Australian National University, Canberra, ACT 2601, Australia;School of Electrical and Computer Engineering, Oklahoma State University, Stillwater, Oklahoma 74078, USA;e-mail: cmouyang@tju.edu.cn;e-mail: xiaoqiang.su@sxdtdx.edu.cn;e-mail: weili.zhang@okstate.edu

光子学研究（英文）

[1]Yi Liu;Chunmei Ouyang;Quan Xu;Xiaoqiang Su;Quanlong Yang;Jiajun Ma;Yanfeng Li;Zhen Tian;Jianqiang Gu;Liyuan Liu;Jiaguang Han;Yunlong Shi;Weili Zhang-.Moiré-driven electromagnetic responses and magic angles in a sandwiched hyperbolic metasurface)[J].光子学研究（英文）,2022(09):2056

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