论文标题

Majorana模式的表现与Aharonov-Bohm效应重叠

Manifestation of Majorana modes overlap in the Aharonov-Bohm effect

论文作者

Aksenov, S. V.

论文摘要

在拓扑超导(SC)电线中出现的主要特征之一是在磁场或化学潜力的增长下增加了其能量的振荡,这同时增强了Majoraana模式波功能的杂交功能最初位于结构的另一个边缘。在这项研究中,我们发现它的另一个结果是在干扰装置中线性响应电导的aharonov-bohm(AB)振荡的转移,其中SC线的两端通过非SC电线(臂)连接了正常接触。另外,它伴随着振荡期加倍。不同无旋模模型的分析结果支持了跨系统的数值计算,从而随着Majoraana模式的杂交增加,可以跟踪电导的演化。结果表明,由于仅通过不同型Majoranas实现不同臂和正常接触之间的耦合,因此与零能量量子点的类似系统相比,AB振荡获得了基本的π/2偏移。

One of the key features of the Majorana bound states emerging in topological superconducting (SC) wires is increasing oscillations of their energy under the growth of magnetic field or chemical potential due to concomitant enhancement of hybridization of the Majorana mode wave functions initially localized at the opposite edges of the structure. In this study we found that the other consequence of it is a shift of Aharonov-Bohm (AB) oscillations of linear-response conductance in an interference device where two ends of the SC wire connected with a normal contact via non-SC wires (arms). In addition, it is accompanied by an oscillation period doubling. The numerical calculations for the spinful system are supported by the analytical results for different spinless models allowing to track the conductance evolution as the hybridization of the Majorana modes increases. It is shown that since the coupling between the different arms and normal contact is implemented only via the different-type Majoranas the AB oscillations acquire a fundamental π/2 shift in comparison with the effect for an analogous system of zero-energy quantum dots.

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