Abstract
We show that if a quantum dot or Majorana zero mode couples to the chiral Majorana fermions, a resonant exchange of chiral Majorana fermions can occur and leads to a non-Abelian braidinglike operation analogous to the braiding of Majorana zero modes. Remarkably, any operation in the braid group can be achieved by this scheme. We further propose electrical transport experiments to observe the braidinglike operation on four chiral Majorana fermions and demonstrate the non-Abelian character in four-terminal devices of the quantum anomalous Hall insulator/topological superconductor hybrid junctions. Both a conductance peak due to the operation and the operation-order-dependent conductance are predicted. These findings pave the way to perform any non-Abelian operation on chiral Majorana fermions by electrically controllable quantum dots.
- Received 24 December 2018
- Revised 27 March 2019
DOI:https://doi.org/10.1103/PhysRevB.99.195137
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