论文标题

由INAS纳米线驱动的自旋轨道耦合的各向异性

Anisotropy of the spin-orbit coupling driven by a magnetic field in InAs nanowires

论文作者

Wójcik, P., Bertoni, A., Goldoni, G.

论文摘要

我们使用$ \ mathbf {k} \ cdot \ mathbf {p} $理论和信封功能方法来评估通过磁场在不同方向上的磁场在半导体纳米线中诱导的rashba旋转轨道耦合,并明确考虑了典型nano-crystals典型nano-crystals典型纳米式的质子对称性。我们为强旋式耦合的INAS半导体纳米线构成了案例,并研究了相对于场方向而言,自旋轨道常数的各向异性。在垂直于纳米线的足够高的磁场上,磁场的相互作用与纳米线的棱镜效应之间的相互作用产生了6倍各向异性。后门电势破坏了纳米晶体的天然对称性,伴侣与磁场偶联,诱导了2倍各向异性,而自旋轨道耦合被最大化或最小化,具体取决于两个场的相对取向。我们还研究了线路场的配置,该配置显示了当轴上旋转场时,该配置显示了一个微不足道的2倍对称性。但是,如果应用足够高的门电势,则恢复各向同性自旋轨道耦合。我们的计算显示与对同一纳米材料的自旋轨道耦合的矢量特征的最新实验分析一致,从而提供了对后者的微观解释。

We use the $\mathbf{k} \cdot \mathbf{p}$ theory and the envelope function approach to evaluate the Rashba spin-orbit coupling induced in a semiconductor nanowire by a magnetic field at different orientations, taking explicitely into account the prismatic symmetry of typical nano-crystals. We make the case for the strongly spin-orbit-coupled InAs semiconductor nanowires and investigate the anisotropy of the spin-orbit constant with respect to the field direction. At sufficiently high magnetic fields perpendicular to the nanowire, a 6-fold anisotropy results from the interplay between the orbital effect of field and the prismatic symmetry of the nanowire. A back-gate potential, breaking the native symmetry of the nano-crystal, couples to the magnetic field inducing a 2-fold anisotropy, with the spin-orbit coupling being maximized or minimized depending on the relative orientation of the two fields. We also investigate in-wire field configurations, which shows a trivial 2-fold symmetry when the field is rotated off the axis. However, isotropic spin-orbit coupling is restored if a sufficiently high gate potential is applied. Our calculations are shown to agree with recent experimental analysis of the vectorial character of the spin-orbit coupling for the same nanomaterial, providing a microscopic interpretation of the latter.

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