Design of a Majorana trijunction
Juan Daniel Torres Luna (Student TU Delft)
S.K. Rangaswamy Kuppuswamy (TU Delft - QN/Akhmerov Group, Kavli institute of nanoscience Delft)
Anton Akhmerov (Kavli institute of nanoscience Delft, TU Delft - QN/Akhmerov Group)
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Abstract
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.
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