Motivated by recent experiments we consider transport across an interacting magnetic impurity coupled to the Majorana zero mode (MZM) observed at the boundary of a topological superconductor (SC). In the presence of a finite tunneling amplitude we observe hybridization of the MZM with the quantum dot, which is manifested by a half-integer zero-bias conductance $G_0=e^2∕2h$ measured on the metallic contacts. The low-energy feature in the conductance drops abruptly by crossing the transition line from the topological to the non-topological superconducting regime. Differently from the in-gap Yu–Shiba–Rosinov-like bound states, which are strongly affected by the on-site impurity Coulomb repulsion, we show that the MZM signature in the conductance is robust and persists even at large values of the interaction. Notably, the topological regime is characterized by a vanishing Fano factor, $F=0$, induced by the MZM. We propose an experimental set-up in Fig. ?? to measure the conductance and the shot-noise in order to detect the topological properties of the superconducting wire and to distinguish the low-energy contribution of a MZM from other possible sources of zero-bias anomaly. Despite being interacting, the model is exactly solvable, which allows us to have an exact characterization of the charge transport properties of the junction.

受最近实验的启发，我们考虑了通过相互作用的磁性杂质的传输，耦合到在拓扑超导体(SC)的边界处观察到的马约拉纳零模式 (MZM )。在存在有限隧穿幅度的情况下，我们观察到 MZM 与量子点的杂化，这表现为半整数零偏置电导$G_0={\mathrm{电子}}^2∕2H$在金属触点上测量。通过跨越从拓扑到非拓扑超导状态的过渡线，电导中的低能量特征突然下降。与受现场杂质库仑排斥强烈影响的带隙内 Yu-Shiba-Rosinov 类束缚态不同，我们表明电导中的 MZM 特征是稳健的，即使在相互作用的大值下也能持续存在。值得注意的是，拓扑结构的特征在于消失的 Fano 因子，$F=0$，由 MZM 诱导。我们在图 ?? 中提出了一个实验装置。测量电导和散粒噪声，以检测超导线的拓扑特性，并将 MZM 的低能量贡献与其他可能的零偏置异常源区分开来。尽管存在相互作用，但该模型是完全可解的，这使我们能够准确表征结的电荷传输特性。