Kavli Affiliate: Anton R. Akhmerov
| First 5 Authors: Juan Daniel Torres Luna, Sathish R. Kuppuswamy, Anton R. Akhmerov, ,
| Summary:
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. In order to have
adiabaticity, a trijunction device requires the desired pair coupling to be
sufficently large and the undesired couplings to vanish. In this work, we
design and simulate of 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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