论文标题

纳米线中的Majorana零模式,三角形和六边形几何形状

Majorana Zero Modes in Nanowires with Combined Triangular and Hexagonal Geometry

论文作者

Klausen, Kristjan Ottar, Sitek, Anna, Erlingsson, Sigurdur I., Manolescu, Andrei

论文摘要

几何形状对Majorana零模式托管的影响在具有六角形核心和三角形壳的核心纳米线中进行了探索,反之亦然。对于带有六角形核心的三角形纳米线而言,分离位于壳体侧面的位置的电子状态与位于壳侧面的状态的电子状态的能量间隔大于三角形的纳米状状态。我们为两种情况构建了拓扑相图,并将它们与具有相同核心和外壳几何形状的棱柱形纳米线上的早期作品进行了比较。我们建议需要双核纳米线以允许在纳米线端平面上进行Majorana零模式的编织操作。

The effects of geometry on the hosting of Majorana zero modes are explored in core-shell nanowires with a hexagonal core and a triangular shell, and vice versa. The energy interval separating electronic states localized in the corners from states localized on the sides of the shell is shown to be larger for a triangular nanowire with a hexagonal core, than a triangular one. We build the topological phase diagram for both cases and compare them to earlier work on prismatic nanowires with the same core and shell geometry. We suggest that a dual core nanowire is needed to allow for a braiding operation of Majorana zero modes at the nanowire end plane.

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