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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Published in | SciPost physics Vol. 12; no. 5; p. 161 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
SciPost
01.05.2022
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Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 2542-4653 2542-4653 |
DOI: | 10.21468/SciPostPhys.12.5.161 |