论文标题
Majorana在电气传输中通过Majoraana纳米线的签名
Signatures of the Majorana spin in electrical transport through a Majorana nanowire
论文作者
论文摘要
在本文中，我们研究了一端偶联到有限长度的Majorana纳米线偶联的稀疏电子隧道的传输特性，该端的另一端将隧道耦合到另一端的量子点（QD）。使用完整的计数统计方法，我们表明Andreev反射可以在两个单独的通道中发生，这可以与隧道电子的两个自旋状态相关联。在纳米线的低能量模型中，该模型由两个重叠的主要结合状态（MBS）表示，用于导电和噪声的分析公式，揭示了它们对QD的不存在的两个MBS的旋转角度差的至关重要的依赖性，如果QD不存在QD，则如果跨度为MBS。我们进一步研究了有限温度对偶联两个MBS的观察的影响。在QD存在的情况下，不同的隧道路径的干扰会引起FANO共振，而这些隧道路径的对称性提供了有关两个MBS耦合的决定性信息。我们将低能模型与Majorana纳米线的紧密结合模型进行了对比，并使用自洽的平均场方法处理QD上的库仑相互作用。使用散射矩阵方法，我们因此扩展了在低能模型中获得的传输结果，其中包括纳米线中较高的激发态。
In this paper, we investigate the transport properties of spinful electrons tunnel-coupled to a finite-length Majorana nanowire on one end which is further tunnel-coupled to a quantum dot (QD) at the other end. Using a full counting statistics approach, we show that Andreev reflection can happen in two separate channels that can be associated with the two spin states of the tunneling electrons. In a low-energy model for the nanowire that is represented by two overlapping Majorana bound states (MBSs) localized at the ends of the wire, analytical formulas for conductance and noise reveal their crucial dependence on the spin-canting angle difference of the two MBSs in the absence of the QD if the spinful lead couples to both MBSs. We further investigate the influence of a finite temperature on the observation of the coupling to both MBSs. In the presence of the QD, the interference of different tunneling paths gives rise to Fano resonances and the symmetry of those provide decisive information about the coupling to both MBSs. We contrast the low-energy model with a tight-binding model of the Majorana nanowire and treat the Coulomb interaction on the QD with a self-consistent mean field approach. Using the scattering matrix approach, we thereby extend the transport results obtained in the low-energy model including also higher excited states in the nanowire.
