SciPost logo

SciPost Submission Page

Fusion rules in a Majorana single-charge transistor

by R. Seoane Souto, M. Leijnse

This Submission thread is now published as SciPost Phys. 12, 161 (2022)

Submission summary

As Contributors: Martin Leijnse · Rubén Seoane Souto
Arxiv 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
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.

Published as SciPost Phys. 12, 161 (2022)



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].


Reports on this Submission

Anonymous Report 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.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Login to report or comment