Abstract Performing the scattering matrix approach, we calculate the current noise cross correlation and the differential conductance in the Majorana bound states (MBSs) comb. The teeth on the comb consist of topological super-conducting nanowire sandwiched between two quantum dots (QDs). We find that the nonlocal property of MBSs comb can be effectively modulated by the quantum dots. For only one “QD-MBSs-QD” building block, N = 1, the current noise cross correlation is negative at small bias and becomes positive at lager bias. A zero bias conductance peak of 2e2/h can be found, and it splits with ϵu increasing, where ϵu is the energy level of up-part QD. For N ≥ 2, the current noise cross correlation is zero at small bias and becomes positive at larger bias. Different from the case of N = 1, the zero bias conductance peak is 4e2/h due to the local Andreev reflection. Besides, we find that the differential conductance is robust against the influence of N.

中文翻译：

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马约拉纳束缚态的调制通过量子点梳理

摘要 执行散射矩阵方法，我们计算了马约拉纳束缚态 (MBS) 梳中的电流噪声互相关和微分电导。梳子上的齿由夹在两个量子点 (QD) 之间的拓扑超导纳米线组成。我们发现 MBSs 梳的非局域性可以被量子点有效地调制。对于仅一个“QD-MBSs-QD”构建块，N = 1，当前噪声互相关在小偏置时为负，在较大偏置时变为正。可以找到 2e2/h 的零偏置电导峰，它随着 ϵu 的增加而分裂，其中 ϵu 是上部 QD 的能级。对于 N ≥ 2，电流噪声互相关在小偏置时为零，在偏置较大时变为正。与 N = 1 的情况不同，由于局部 Andreev 反射，零偏置电导峰值为 4e2/h。此外，我们发现微分电导对 N 的影响具有鲁棒性。