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    Spin-charge-entangled Kondo effect induced by a side-coupled Majorana zero mode

    Haojie Shen1, Wei Su2,*, M. N. Chen3, and Xiaoqun Wang4,†

    • *Contact author: suwei@sicnu.edu.cn
    • †Contact author: xiaoqunwang@sjtu.edu.cn

    Phys. Rev. B 112, 085123 – Published 13 August, 2025

    DOI: https://doi.org/10.1103/kmpz-3ytk

    Abstract

    We investigate Kondo physics in a quantum dot side coupled to a Majorana zero mode, where the Majorana coupling induces both spin and charge fluctuations that determine low-energy behavior. Using a wave-function-based Schrieffer-Wolff transformation combined with numerical renormalization group calculations, we discover an SUL(2) spin-charge-entangled Kondo state, in which conduction electrons screen the spin-charge-entangled degrees of freedom of the Majorana-quantum dot subsystem. We show that the parity degeneracy of this state gives rise to spin-resolved Andreev-normal boundary conditions, resulting in non-Fermi-liquid behavior. Density matrix renormalization group simulations directly resolve a hallmark of these boundary conditions—a subleading even-odd effect in the screening cloud. Our framework bridges strongly correlated and topological phenomena, and naturally extends to ZN parafermions and SU(N) Kondo systems.

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