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Jackiw-Rebbi zero modes in non-uniform topological insulator nanowire

机译:非均匀拓扑绝缘体纳米线的Jackiw-Rebbi零模

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摘要

We theoretically investigate the emergence of Jackiw-Rebbi zero modes and their conductance signature in non-uniform topological insulator nanowires. We modelled the non-uniform nanowires as the junction between two cylindrical nanowires with different radius. In the limit of wire length being much larger than its radius, the surface state of the nanowire splits into one-dimensional Dirac modes propagating along the axis of the cylinder owing to radial confinement. The sign of the mass gap in each of these Dirac mode is decided by angular momentum quantum number corresponding to the rotational motion of the electron about the axis of the cylindrical. Application of an external magnetic flux through the cylindrical nanowires enables us to tune the mass gap from positive to negative value across the junction. Due to this flux tunable band inversion, controlled by the external magnetic filed, Jackiw-Rebbi zero modes can be made to appear or disappear at the junction. We compute the differential conductance of our topological insulator nanowire junction and show that a quantized conductance peak appears at zero-energy (zero-bias) in the presence of the Jackiw-Rebbi mode.
机译:我们从理论上研究了Jackiw-Rebbi零模的出现及其在非均匀拓扑绝缘体纳米线中的电导签名。我们将不均匀的纳米线建模为具有不同半径的两个圆柱纳米线之间的连接点。在导线长度远大于其半径的极限中,由于径向限制,纳米线的表面状态分裂成沿圆柱体的轴传播的一维狄拉克模。在这些狄拉克模式的每一个中,质量间隙的符号由角动量量子数决定,该角动量量子数对应于电子围绕圆柱轴旋转的运动。通过圆柱形纳米线施加外部磁通量使我们能够在结处将质量间隙从正值调整为负值。由于这种由外部磁场控制的通量可调带反转,可以使Jackiw-Rebbi零模式在结处出现或消失。我们计算了拓扑绝缘体纳米线结的差分电导,并表明在存在Jackiw-Rebbi模式的情况下,量化的电导峰出现在零能量(零偏置)处。

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  • 来源
    《Physical review》 |2019年第8期|085428.1-085428.6|共6页
  • 作者单位

    Inst Phys Sachivalaya Marg Bhubaneswar 751005 India|Homi Bhabha Natl Inst Training Sch Complex Mumbai 400085 Maharashtra India;

    IISER Kolkata Dept Phys Sci Mohanpur 741246 W Bengal India;

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