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Fusion rules in a Majorana single-charge transistor
by R. Seoane Souto, M. Leijnse
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Submission summary
| Authors (as registered SciPost users): | Martin Leijnse · Rubén Seoane Souto |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2112.07472v2 (pdf) |
| Date accepted: | 2022-04-21 |
| Date submitted: | 2022-03-15 10:43 |
| Submitted by: | Seoane Souto, Rubén |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.
List of changes
We have extended the discussion about trivial states in the introduction and the conclusions.
We have included more details about how to measure zero-energy states in our geometry through transport.
We have removed point (5) in page 4.
We have included a comment about the effect of trivial states in the protocol at the end of section 4.
We have added Refs. [7,18,22-25,71,72].
Published as SciPost Phys. 12, 161 (2022)
Reports on this Submission
Report 1 by Elsa Prada on 2022-3-19 (Invited Report)
Report
The authors have answered satisfactorily the comments/questions raised and they have improved accordingly the manuscript. I think this work is ready for publication in SciPost.