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arXiv · 2004.14991

Majorana Zero Modes in Nanowires with Combined Triangular and Hexagonal Geometry

Kristjan Ottar Klausen·Anna Sitek·Sigurdur I. Erlingsson·Andrei Manolescu
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Abstract

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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Kristjan Ottar Klausen, Anna Sitek, Sigurdur I. Erlingsson, Andrei Manolescu. 2020-04-30. Majorana Zero Modes in Nanowires with Combined Triangular and Hexagonal Geometry. https://doi.org/10.1088/1361-6528/ab932e

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