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arXiv 2006.16643cond-mat.supr-con
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欠阻尼电流偏置拓扑约瑟夫森结绝缘区的临界电流

Critical current for an insulating regime of an underdamped current-biased topological Josephson junction

Aleksandr E. Svetogorov, Daniel Loss, Jelena Klinovaja

摘要:

我们分析研究了欠阻尼电流偏置拓扑约瑟夫森结。首先,我们考虑了一个简化的模型在零温度下,其中的奇偶性的非本地费米态形成的马约拉纳束缚态(MBSs)本地化的结是固定的,并表明,在这种情况下,从绝缘到导电状态的转变是由单准粒子隧穿,而不是由库珀对隧穿在非拓扑约瑟夫森结。这导致从绝缘状态到导电状态的转变的临界电流显著降低。我们建议,如果系统的长度是有限的,从绝缘到导电状态的过渡发生在指数更高的偏置电流,由于杂交的状态与不同的奇偶校验作为结果的重叠的MBS本地化的结和拓扑纳米线形成的结的边缘。最后,我们讨论了如何通过测量不同外加磁场值下绝缘状态的临界电流来实验确定MBS的出现。

英文摘要:

We study analytically an underdamped current-biased topological Josephson junction. First, we consider a simplified model at zero temperature, where the parity of the non-local fermionic state formed by Majorana bound states (MBSs) localized on the junction is fixed, and show that a transition from insulating to conducting state in this case is governed by single-quasiparticle tunneling rather than by Cooper pair tunneling in contrast to a non-topological Josephson junction. This results in a significantly lower critical current for the transition from insulating to conducting state. We propose that, if the length of the system is finite, the transition from insulating to conducting state occurs at exponentially higher bias current due to hybridization of the states with different parities as a result of the overlap of MBSs localized on the junction and at the edges of the topological nanowire forming the junction. Finally, we discuss how the appearance of MBSs can be established experimentally by measuring the critical current for an insulating regime at different values of the applied magnetic field.

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