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    Intrinsic next-nearest-neighbor coupling-induced asymmetric topological pumping in a spatially modulated acoustic lattice

    Yanqiu Wang1,*, Yang Tan1,*, Yifan Song1, Jie Hu2, Jingjing Liu1,†, Bin Liang1,3,‡, and Jianchun Cheng1

    • 1Key Laboratory of Modern Acoustics, MOE, Institute of Acoustics, Department of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, People's Republic of China
    • 2College of Information Science and Technology & College of Artificial Intelligence, Nanjing Forestry University, Nanjing 210037, People's Republic of China
    • 3Jiangsu Physical Science Research Center, Nanjing 210093, People's Republic of China

    • *These authors contributed equally to this work
    • †Contact author: liujingjing@nju.edu.cn
    • ‡Contact author: liangbin@nju.edu.cn

    Phys. Rev. B 113, 184113 – Published 11 May, 2026

    DOI: https://doi.org/10.1103/rwq9-8m5w

    Abstract

    The acoustic coupled-cavity system offers a versatile platform for exploring novel topological phenomena such as topological pumping and beyond, wherein long-range coupling, as an emerging modulation strategy, is typically introduced via extrinsic connection elements or moving fluids, resulting in increased systemic complexity or unwanted fluid-induced noise. Here, we exploit intrinsic next-nearest-neighbor (NNN) couplings within coupled-cavity systems as a controllable degree of freedom and, based on it, demonstrate a remarkable effect of asymmetric topological pumping in a compact spatially modulated acoustic lattice without extra coupling tubes and moving fluids. Through a higher-order approximation, we theoretically reveal and experimentally demonstrate that the intrinsic long-range coupling, which is commonly overlooked in previous designs, can be significantly amplified and independently modulated via rationally designing the structural parameters. As the NNN coupling increases, asymmetric band compression leads to highly uneven spectral spacings, ultimately triggering the directional breakdown of pump channels. Simulation results confirm the asymmetric pumping of sound in the spatially modulated lattices irrespective of whether nonparaxial or paraxial conditions are applied. Our findings may advance the exploration of topological phases enriched by NNN coupling and provide a design paradigm for compact acoustic devices enabling direction-selective wave control.

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