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    Wave-vector-mismatch-controlled coupling of valley edge states for tunable energy distribution

    Guochao Wei1, Beibei Wang1, Xiaoming Zhang2,*, Weijia Han1, Kang Du1, Wei Zhu1,†, and Shengxiang Wang1,3,‡

    • 1School of Microelectronics, Wuhan Textile University, Wuhan 430200, China
    • 2College of Smart Manufacturing and Materials & Chemical Engineering, Yichun University, Yichun, Jiangxi Province, 336000, China
    • 3Hubei Provincial Engineering Research Center for Wide-Bandgap Semiconductor Materials and Devices, Wuhan Textile University, Wuhan 430200, China

    • *Contact author: zhangxm8555@163.com
    • †Contact author: zhuwei@wtu.edu.cn
    • ‡Contact author: shxwang@wtu.edu.cn

    Phys. Rev. A 113, 013524 – Published 16 January, 2026

    DOI: https://doi.org/10.1103/nvcw-gd3x

    Abstract

    When two valley edge states (VESs) in an A-B-A structure approach each other, mutual interference inevitably arises. However, in most cases, the degree of interference at a given frequency remains fixed, lacking an effective strategy for continuous tuning of the coupling strength. In this article, we present a coupled topological waveguide in which one channel incorporates the phase-change material Sb2S3. By adjusting the refractive index of Sb2S3, the wave vector of the corresponding VES can be flexibly tuned. Since mode coupling is governed by the wave-vector matching condition, this tunability allows precise control of the coupling coefficient between the two VESs at a specific frequency, thereby enabling dynamically reconfigurable beam-splitting behavior. Furthermore, with a large wave-vector mismatch, we achieve fully decoupled transmission, where the VESs propagate along their respective channels with minimal crosstalk, even in closely spaced waveguides. This capability for controllable interference and low-crosstalk propagation provides a promising route for the realization of high-density, multichannel photonic integration.

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