TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.2.044
TI  - Design of a Majorana trijunction
PY  - 2024/02/09
UR  - https://scipost.org/SciPostPhys.16.2.044
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 2
SP  - 044
A1  - Torres Luna, Juan Daniel
AU  - R. Kuppuswamy, Sathish
AU  - Akhmerov, Anton R.
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.16.2.044,
	title={{Design of a Majorana trijunction}},
	author={Juan Daniel Torres Luna and Sathish R. Kuppuswamy and Anton R. Akhmerov},
	journal={SciPost Phys.},
	volume={16},
	pages={044},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.2.044},
	url={https://scipost.org/10.21468/SciPostPhys.16.2.044},
}