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    Atomic-Scale Visualization of Quantum Phase Transition in Mixed-Valence Regime

    Xingsen Chen1,*, Junyi Zhang2,*, Qiaoyan Yu1, Ruijun Xi1, Shasha Xue1, Jice Sun1, Yi Zhang1, Xian Du1, Xuhui Ning1 et al.

    Pengyu Hu1, Tingwen Miao1, Hao Yang1,3,4, Hemian Yi1,3,4, Weijiong Chen1,3,4, Xiaoxue Liu1,3,4, Liang Liu1,3,4, Dandan Guan1,3,4, Yaoyi Li1,3,4, Shiyong Wang1,3,4, Canhua Liu1,3,4, Sangen Zhao5, Hao Zheng1,3,4,†, and Jinfeng Jia1,3,4,5,6,‡

    • *These authors contributed equally to this work.
    • †Contact author: haozheng1@sjtu.edu.cn
    • ‡Contact author: jfjia@sjtu.edu.cn

    Phys. Rev. Lett. 137, 186201 – Published 30 October, 2026

    DOI: https://doi.org/10.1103/17nh-csbr

    Abstract

    Fe dopants on the surface of a Bi2Te3 thin film grown on a superconducting NbSe2 substrate by molecular beam epitaxy are investigated by a dilution-refrigerator scanning tunneling microscope. Utilizing the tip-induced band bending effect, we precisely manipulate the dopant’s energy level and charge state. When the dopant level is tuned near the superconducting gap, the system reaches the mixed valence regime. Yu-Shiba-Rusinov states emerge, shift continuously, and cross zero energy as the dopant level is tuned, all of which are reproduced by our multiorbital Anderson-Kanamori model simulations. Unlike conventional exchange-coupling-driven transitions of Yu-Shiba-Rusinov states where Kondo screening dominates, the mechanism here is governed by dopant-level-driven charge transfer and resonantly enhanced Kanamori interactions. These findings open a new avenue to quantum state engineering and spin-dependent transport in semiconductor/superconductor hybrid systems.

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