论文标题
临界电流的绝缘状态不足的电流偏见的拓扑结构约瑟夫森连接
Critical current for an insulating regime of an underdamped current-biased topological Josephson junction
论文作者
论文摘要
我们在分析上研究了阻尼不足的电流偏见的拓扑结构。 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.这导致从绝缘状态过渡到导电状态的临界电流明显降低。我们建议，如果系统的长度是有限的，则从隔离状态到导致状态的过渡是由于在连接处和拓扑纳米线形成交界处的MBS重叠的情况下，由于具有不同平等的状态的状态杂交而发生了指数较高的偏置电流。最后，我们讨论如何通过测量在应用磁场的不同值下测量绝缘状态的临界电流，如何在实验中建立MBS的外观。
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.
