论文标题
量子杂质与拓扑线相关的主要相关性
Majorana correlations in quantum impurities coupled to a topological wire
论文作者
论文摘要
在这项工作中，我们研究了与拓扑超导线相连的量子杂质的主要相关性。通过采用密度矩阵重新归一化组方法，我们计算了系统在系统基态下的Majorana相关函数，用于沿线的杂质的不同位置。我们观察到，相关性随着杂质与电线末端之间的距离而呈指数下降。此外，还分析了电线上和杂质上的不同电子电子相互作用，结果显示出更强的效果，因为电线中的电子占用增加。此外，通过调整其能量水平来改变杂质的职业，我们观察到，对于$ε$的特定值，当化学势位于拓扑状态的窗口内时，相关的绝对值高度达到峰值。这些峰与杂质中的库仑封锁现象有关，很明显地揭示了其对系统拓扑阶段中Majorana结合状态的影响。
In this work we investigate Majorana correlations in quantum impurities coupled to a topological superconducting wire. By employing a density matrix renormalization group approach, we have calculated the Majorana correlation functions in the ground state of the system for different positions of the impurities along the wire. We observe that the correlations decreases exponentially with the distance between the impurities and the ends of the wire. Moreover, different electron-electron interactions on the wire and on the impurities were also analyzed, and the results showed a stronger effect as the electron occupation in the wire is increased. Moreover, changing the occupation of the impurities by tuning their energy levels, we observe that for specific values of $ε$ the absolute value of correlation is highly peaked when the chemical potential lies within the window of the topological regime. These peaks are associated to coulomb blockade phenomena in the impurities, revealing very clearly its effect on the Majorana bound states in the topological phase of the system.
