论文标题
非中心对称超导体中的可调式主要角模式:隧道光谱和边缘缺陷
Tunable Majorana corner modes in noncentrosymmetric superconductors: Tunneling spectroscopy and edge imperfections
论文作者
论文摘要
在二维二阶拓扑超导体中出现的Majoraana角模式在容易耐故障的拓扑量子计算中具有巨大的潜在应用。我们证明,在存在平面内的洋流场二维($ s+p $)的存在下 - 波超导体主机Major Majorana角模式,其位置可以通过磁场的方向来操纵。此外,我们讨论了边缘缺陷对Majoraana角模式的影响。我们描述了不同的边缘形状和边缘障碍如何影响Majorana角模式的数量和可控性,这与实施拓扑量子计算相关。我们还讨论了Majorana角模式存在的隧道光谱,在该模式下,铅线连接到非中心对称超导体的角落。零偏置差分电导显示了相对于磁场方向的明显周期性,这证明了该设置中Majorana角模式的出色可控性。我们的结果为在($ s+p $) - 波超导体的实验中观察和调整Majoran角模式的理论基础。
Majorana corner modes appearing in two-dimensional second-order topological superconductors have great potential applications for fault-tolerant topological quantum computations. We demonstrate that in the presence of an in-plane magentic field two-dimensional ($s+p$)-wave superconductors host Majorana corner modes, whose location can be manipulated by the direction of the magnetic field. In addition, we discuss the effects of edge imperfections on the Majorana corner modes. We describe how different edge shapes and edge disorder affect the number and controllability of the Majorana corner modes, which is of relevance for the implementation of topological quantum computations. We also discuss tunneling spectroscopy in the presence of the Majorana corner modes, where a lead-wire is attached to the corner of the noncentrosymmetric superconductor. The zero-bias differential conductance shows a distinct periodicity with respect to the direction of the magnetic field, which demonstrates the excellent controllability of the Majorana corner modes in this setup. Our results lay down the theoretical groundwork for observing and tuning Majoran corner modes in experiments on ($s+p$)-wave superconductors.