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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
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
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
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 #2 by Anonymous (Referee 2) on 2022-3-21 (Invited Report)

Report

The authors have followed my recommendations and improved the manuscript accordingly. In my opinion, the paper is ready for publication.

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Report #1 by Elsa Prada (Referee 1) 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.

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