Electron-Tunneling-Assisted Non-Abelian Braiding of Rotating Majorana Bound States

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It has been argued that fluctuations of fermion parity are harmful for the demonstration of non-Abelian anyonic statistics. Here, we demonstrate a striking exception in which such fluctuations are actively used. We present a theory of coherent electron transport from a tunneling tip into a Corbino geometry Josephson junction where four Majorana bound states (MBSs) rotate. While the MBSs rotate, electron tunneling happens from the tip to one of the MBSs thereby changing the fermion parity of the MBSs. The tunneling events in combination with the rotation allow us to identify a novel braiding operator that does not commute with the braiding cycles in the absence of tunneling, revealing the non-Abelian nature of MBSs. The time-averaged tunneling current exhibits resonances as a function of the tip voltage with a period that is a direct consequence of the interference between the noncommuting braiding operations. Our work opens up a possibility for utilizing parity nonconserving processes to control non-Abelian states.
Publisher
AMER PHYSICAL SOC
Issue Date
2020-10
Language
English
Article Type
Article
Citation

PHYSICAL REVIEW LETTERS, v.125, no.18, pp.187702 - 187702

ISSN
0031-9007
DOI
10.1103/PhysRevLett.125.187702
URI
http://hdl.handle.net/10203/277752
Appears in Collection
PH-Journal Papers(저널논문)
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