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Energy spectrum and current-phase relation of a nanowire Josephson junction close to the topological transition

机译：纳米线Josephson交界处的能谱与局部关系接近拓扑过渡

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摘要

A semiconducting nanowire proximitized by an .s-wave superconductor can be tuned into a topological state by an applied magnetic field. This quantum phase transition is marked by the emergence of Majorana zero modes at the ends of the wire. The fusion of Majorana modes at a junction between two nanowires results in a 4π-periodic Josephson effect. We elucidate how the 4π periodicity arises across the topological phase transition in a highly-transparent short nanowire junction. Owing to a high transmission coefficient, Majorana zero modes coming from different wires are strongly coupled, with an energy scale set by the proximity-induced, field-independent pairing potential. At the same time, the topological spectral gap-defined by competition between superconducting correlations and Zeeman splitting-becomes narrow in the vicinity of the transition point. The resulting hybridization of the fused Majorana states with the spectral continuum strongly affects the electron density of states at the junction and its Josephson energy. We study the manifestations of this hybridization in the energy spectrum and phase dependence of the Josephson current. We pinpoint the experimentally observable signatures of the topological phase transition, focusing on junctions with weak backscattering.
机译：通过施加的磁场可以调谐由。 - 波超导体的半导体纳米线通过施加的磁场调谐到拓扑状态。该量子相变由Majorana Zero Modes的出现标记在线处的末端。两个纳米线之间的交界处的Majorana模式的融合导致4π周期的Josephson效应。我们阐明了在高度透明的短纳米线结中的拓扑相转变中出现的4π周期性。由于高透射系数，来自不同电线的Majorana零模式强烈耦合，通过接近诱导的现场相对配对电位设定的能量尺度。同时，通过超导相关性与塞曼分裂之间的竞争定义的拓扑光谱间隙 - 在转变点附近变窄。由光谱连续体的融合Majusana状态的所得杂交强烈影响交界处及其约瑟夫森能量的状态的电子密度。我们研究了约瑟夫森电流的能谱和相位依赖性的这种杂交的表现。我们确定了拓扑阶段过渡的实验可观察签名，重点关注反向散射弱的连接。

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  • 来源
    《Physical review》 |2020年第22期|224501.1-224501.26|共26页
  • 作者

    Chaitanya Murthy; Vladislav D. Kurilovich; Pavel D. Kurilovich; Bernard van Heck; Leonid I. Glazman; Chetan Nayak;

  • 作者单位

    Department of Physics University of California Santa Barbara California 93106 USA;

    Department of Physics Yale University New Haven Connecticut 06520 USA;

    Department of Physics Yale University New Haven Connecticut 06520 USA;

    Microsoft Quantum Station Q University of California Santa Barbara California 93106 USA Microsoft Quantum Lab Delft Delft University of Technology 2600 GA Delft The Netherlands;

    Department of Physics Yale University New Haven Connecticut 06520 USA;

    Department of Physics University of California Santa Barbara California 93106 USA Microsoft Quantum Station Q University of California Santa Barbara California 93106 USA;

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