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Fusion rules in a Majorana single-charge transistor

Souto, Rubén Seoane LU orcid and Leijnse, Martin LU (2022) In SciPost Physics 12(5).
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... (More)

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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Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
SciPost Physics
volume
12
issue
5
article number
161
publisher
SciPost
external identifiers
  • scopus:85131679909
ISSN
2542-4653
DOI
10.21468/SCIPOSTPHYS.12.5.161
language
English
LU publication?
yes
id
efa38ee3-c435-42b9-aa8d-e416abe5c0b5
date added to LUP
2023-01-20 12:33:57
date last changed
2023-11-21 15:53:05
@article{efa38ee3-c435-42b9-aa8d-e416abe5c0b5,
  abstract     = {{<p>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.</p>}},
  author       = {{Souto, Rubén Seoane and Leijnse, Martin}},
  issn         = {{2542-4653}},
  language     = {{eng}},
  number       = {{5}},
  publisher    = {{SciPost}},
  series       = {{SciPost Physics}},
  title        = {{Fusion rules in a Majorana single-charge transistor}},
  url          = {{http://dx.doi.org/10.21468/SCIPOSTPHYS.12.5.161}},
  doi          = {{10.21468/SCIPOSTPHYS.12.5.161}},
  volume       = {{12}},
  year         = {{2022}},
}