Fusion rules in a Majorana single-charge transistor
(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.
(Less)
- author
- Souto, Rubén Seoane LU and Leijnse, Martin LU
- organization
- publishing date
- 2022-05
- 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}}, }