Fusion rules in a Majorana single-charge transistor

A demonstration of the theoretically predicted non-abelian properties of Majorana bound states (MBSs) would constitute a definite proof of a topological superconducting phase. Alongside the nontrivial braiding statistics, the fusion rules are fundamental properties of all non-abelian anyons. In this...

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Bibliographic Details
Published inSciPost physics Vol. 12; no. 5; p. 161
Main Authors Seoane Souto, Rubén, Leijnse, Martin
Format Journal Article
LanguageEnglish
Published SciPost 01.05.2022
Subjects
Fysik
Natural Sciences
Naturvetenskap
Physical Sciences
Subatomic Physics
Subatomär fysik
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Summary:A demonstration of the theoretically predicted non-abelian properties of Majorana bound states (MBSs) would constitute a definite proof of a topological superconducting phase. Alongside the nontrivial braiding statistics, the fusion rules are fundamental properties of all non-abelian anyons. In this work, we propose and theoretically analyze a way to demonstrate MBS fusion rules in a Majorana single-charge transistor. Our proposal reduces both the number of operations and the device complexity compared to previous designs. Furthermore, we show that the fusion protocol can be adapted to pump a quantized amount of charge in each cycle, providing a straightforward method to detect fusion rules through a DC current measurement. We analyze the protocol numerically and analytically and show that the required operational timescales and expected measurement signals are within experimental capabilities in various superconductor-semiconductor hybrid platforms.
ISSN:2542-4653
2542-4653
DOI:10.21468/SciPostPhys.12.5.161