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HL: Fachverband Halbleiterphysik

HL 14: Poster II

HL 14.23: Poster

Monday, March 18, 2024, 15:00–18:00, Poster F

Design of a Majorana trijunction — •Juan Torres1, Sathish Kuppuswamy2, and Anton Akhmerov21QuTech, Delft, The Netherlands — 2Kavli Institute of Nanoscience, Delft, The Netherlands

Braiding of Majorana states demonstrates their non-Abelian exchange statistics. One implementation of braiding requires control of the pairwise couplings between all Majorana states in a trijunction device. To have adiabaticity, a trijunction device requires the desired pair coupling to be sufficiently large and the undesired couplings to vanish. In this work, we design and simulate a trijunction device in a two-dimensional electron gas with a focus on the normal region that connects three Majorana states. We use an optimisation approach to find the operational regime of the device in a multi-dimensional voltage space. Using the optimization results, we simulate a braiding experiment by adiabatically coupling different pairs of Majorana states without closing the topological gap. We then evaluate the feasibility of braiding in a trijunction device for different shapes and disorder strengths.

Keywords: Majorana; Semiconductor; Trijunction

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