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    Intervalley scattering modulated extrinsic spin Hall effect in Janus monolayers

    Shuhan Sun1,2, Xiangjun Xiao1,2, Xingyuan Liu1,2, Dong Zhang1,2,*, and Kai Chang3,†

    • *Contact author: zhangdong@semi.ac.cn
    • †Contact author: kchang@zju.edu.cn

    Phys. Rev. B 114, 065427 – Published 27 July, 2026

    DOI: https://doi.org/10.1103/2fr4-n4lm

    Abstract

    We systematically analyze both the intrinsic and extrinsic spin Hall conductivity in Janus monolayers using an effective minimal Hamiltonian and the Kubo-Streda formalism with Feynman diagrams. Our analytical and numerical results reveal that the vertex cancellation distinguishes Janus monolayers from the pristine counterparts, i.e., the transition metal dichalcogenide, because of the existence of Rashba- and Zeeman-type spin-orbit couplings. The interplay between intravalley and intervalley scattering processes significantly modifies the extrinsic spin Hall conductivity in the conduction bands for different occupations. These intervalley scattering processes play a crucial role and provide us an experimentally accessible way to tune the extrinsic spin Hall effect in Janus.

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