Fusion of Majorana bound states with mini-gate control in two-dimensional systems

Tong Zhou (), Matthieu C. Dartiailh, Kasra Sardashti, Jong E. Han, Alex Matos-Abiague, Javad Shabani and Igor Žutić ()
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Tong Zhou: University at Buffalo, State University of New York
Matthieu C. Dartiailh: New York University
Kasra Sardashti: New York University
Jong E. Han: University at Buffalo, State University of New York
Alex Matos-Abiague: Wayne State University
Javad Shabani: New York University
Igor Žutić: University at Buffalo, State University of New York

Nature Communications, 2022, vol. 13, issue 1, 1-10

Abstract: Abstract A hallmark of topological superconductivity is the non-Abelian statistics of Majorana bound states (MBS), its chargeless zero-energy emergent quasiparticles. The resulting fractionalization of a single electron, stored nonlocally as a two spatially-separated MBS, provides a powerful platform for implementing fault-tolerant topological quantum computing. However, despite intensive efforts, experimental support for MBS remains indirect and does not probe their non-Abelian statistics. Here we propose how to overcome this obstacle in mini-gate controlled planar Josephson junctions (JJs) and demonstrate non-Abelian statistics through MBS fusion, detected by charge sensing using a quantum point contact, based on dynamical simulations. The feasibility of preparing, manipulating, and fusing MBS in two-dimensional (2D) systems is supported in our experiments which demonstrate the gate control of topological transition and superconducting properties with five mini gates in InAs/Al-based JJs. While we focus on this well-established platform, where the topological superconductivity was already experimentally detected, our proposal to identify elusive non-Abelian statistics motivates also further MBS studies in other gate-controlled 2D systems.

Date: 2022
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DOI: 10.1038/s41467-022-29463-6

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