Ottar Klausen Kristjan, Sitek Anna, Erlingsson Sigurdur I, Manolescu Andrei
Department of Engineering, Reykjavik University, Menntavegur 1, IS-101 Reykjavik, Iceland.
Nanotechnology. 2020 Aug 28;31(35):354001. doi: 10.1088/1361-6528/ab932e. Epub 2020 May 14.
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 matching core and shell geometry. We suggest that a dual core nanowire is needed to allow for braiding operations of Majorana zero modes at the nanowire end plane.
在具有六边形芯和三角形壳的核壳纳米线中，研究了几何形状对马约拉纳零模容纳的影响，反之亦然。结果表明，对于具有六边形芯的三角形纳米线，位于壳角处的电子态与位于壳边的电子态之间的能量间隔，比普通三角形纳米线的更大。我们构建了这两种情况的拓扑相图，并将它们与早期关于具有匹配芯壳几何形状的棱柱形纳米线的工作进行比较。我们认为，需要一种双芯纳米线，以便在纳米线端面进行马约拉纳零模的编织操作。
