Cross correlation mediated by Majorana island with finite charging energy

Cross correlation mediated by Majorana island with finite charging energy
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由马约拉纳岛介导的具有有限充电能量的互相关

DOI:
10.1088/1367-2630/ac3efc
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发表时间:
2021-08
影响因子:
3.3
通讯作者:
Xin-Qi Li
Xin-Qi Li
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Wei Feng;Lupei Qin;Xin-Qi Li

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基于多粒子数态处理方法,对通过两个量子点耦合的一对Majorana零模(MZM)的输运过程进行了研究,发现MZM之间在解耦合极限下电流的零互相关是由隐形传态和Andreev过程通道的简并性引起的.然后,我们提出了一个计划,以消除简并通过引入有限的充电能量的Majorana岛,允许共存的两个通道。我们发现非零交叉相关建立甚至在马约拉纳解耦限制(也在小充电能量限制),这表明以及隐形传态或非本地性质的MZM。更具体地说,在互相关的功率谱中的相干峰的特征结构进行了分析,以确定MZM和量子点之间的非局域和相干耦合机制。我们还显示了峰位移的行为与马约拉纳耦合能量的变化,这可以通过调制参数,如磁场来实现。
Based on the many-particle-number-state treatment for transport through a pair of Majorana zero modes (MZMs) which are coupled to the leads via two quantum dots, we identify that the reason for zero cross correlation of currents at uncoupling limit between the MZMs is from a degeneracy of the teleportation and the Andreev process channels. We then propose a scheme to eliminate the degeneracy by introducing finite charging energy on the Majorana island which allows for coexistence of the two channels. We find nonzero cross correlation established even in the Majorana uncoupling limit (and also in the small charging energy limit), which demonstrates well the teleportation or nonlocal nature of the MZMs. More specifically, the characteristic structure of coherent peaks in the power spectrum of the cross correlation is analyzed to identify the nonlocal and coherent coupling mechanism between the MZMs and the quantum dots. We also display the behaviors of peak shift with variation of the Majorana coupling energy, which can be realized by modulating parameters such as the magnetic field.
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