Resonant exchange of Chiral Majorana Fermions modulated by two parallel quantum dots.

Abstract

Resonant exchange of the chiral Majorana fermions (MFs) that is coupled to two parallel Majorana zero
modes (MZMs) or two parallel quantum dots (QDs) is investigated. We find that, in the two QDs coupling
case, the resonant exchange for the chiral MFs is analogous to that in the MZM coupling case. We further
propose a circuit based on topological superconductor (TSC), which is formed by the proximity coupling of
a quantum anomalous Hall insulator (QAHI) and a s-wave superconductor, to observe the resonant exchange
of chiral MFs pairs. The numerical calculations show that the resonant transmission of the chiral MFs can be
adjusted by varying the coupling parameters. It is particularly noteworthy that, by only modulating the coupling
strength between the two QDs, the resonant exchange may be switched on or off. By adding another MZM, the
non-Abelian braidinglike operation can be realized. Therefore, our design scheme may provide another way for
non-Abelian braiding operation of MFs and the findings may have potential application value in the realization
of topological quantum computers.