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    Ballistic transport of orbital current from chromium

    Yongzuo Wang1, Fu Liu1, Bing Lv1, Lijuan Zhao1, Hang Li1, Zhongjie Yan1, Xiaolong Fan1,*, Chenglong Jia2,3,†, and Cunxu Gao1,‡

    • 1School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China
    • 2Lanzhou Center for Theoretical Physics and Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, Lanzhou 730000, China
    • 3Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou 730000, China

    • *Contact author: fanxiaolong@lzu.edu.cn
    • †Contact author: cljia@lzu.edu.cn
    • ‡Contact author: gaocunx@lzu.edu.cn

    Phys. Rev. B 112, 184408 – Published 4 November, 2025

    DOI: https://doi.org/10.1103/8k4w-2w13

    Abstract

    The ballistic orbital current (JL) promises more efficient information transfer over longer distances in various materials compared with spin current (JS). However, experimental observation and quantitative investigation of ballistic orbital transport remain elusive due to the entanglement between JL and JS. Here, we show that the vanishingly small spin-orbit coupling of Cu and its negligible d-orbital character close to the Fermi energy allow spin-independent orbital investigation. Combined with theoretical and experimental results, we reveal that the ballistic transport length of JL generated by Cr reaches up to 13 nm, a magnitude larger than the typical spin-diffusion length of 1–2 nm. Moreover, an orbital efficiency of 0.44 was quantitatively determined in Cr, which is 1.9 times larger than that of spin-dominated heavy metal Pt. These results not only provide a convenient approach for the quantitative study of JL but also highlight the significant potential of orbital engineering in spin-orbitronics applications.

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