Resonant fractional conductance through a 1D Wigner chain

Rose Davies; Igor V. Lerner; Igor V. Yurkevich

doi:10.1038/s42005-024-01545-5

Resonant fractional conductance through a 1D Wigner chain

Rose Davies, Igor V. Lerner^*, Igor V. Yurkevich

^*Corresponding author for this work

University of Birmingham, School of Physics and Astronomy, Birmingham, B15 2TT, UK, ROR: https://ror.org/03angcq70, GRID: grid.6572.6, ISNI: 0000 0004 1936 7486

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Abstract

In recent experiments on conductance of one-dimensional (1D) channels in ultra-clean samples, a diverse set of plateaus were found at fractions of the quantum of conductance in zero magnetic field. We consider a discrete model of strongly interacting electrons in a clean 1D system where the current between weak tunneling contacts is carried by fractionally charged solutions. While in the spinless case conductance remains unaffected by the interaction, as is typical for the strongly interacting clean 1D systems, we demonstrate that in the spinful case the peak conductance takes fractional values that depend on the filling factor of the 1D channel.

Original language	English
Article number	67
Number of pages	6
Journal	Communications Physics
Volume	7
Issue number	1
Early online date	28 Feb 2024
DOIs	https://doi.org/10.1038/s42005-024-01545-5
Publication status	Published - 29 Feb 2024

Bibliographical note

Copyright © The Author(s), 2024. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/

Funding

The authors gratefully acknowledge support from EPSRC under the grant EP/R029075/1 (I.V.L.) and from the Leverhulme Trust under the grant RPG-2019-317 (I.V.Y.).

Funders	Funder number
Engineering and Physical Sciences Research Council	EP/R029075/1
Leverhulme Trust	RPG-2019-317

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42005_2024_Article_1545.pdf
Copyright © The Author(s), 2024. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/
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Cite this

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abstract = "In recent experiments on conductance of one-dimensional (1D) channels in ultra-clean samples, a diverse set of plateaus were found at fractions of the quantum of conductance in zero magnetic field. We consider a discrete model of strongly interacting electrons in a clean 1D system where the current between weak tunneling contacts is carried by fractionally charged solutions. While in the spinless case conductance remains unaffected by the interaction, as is typical for the strongly interacting clean 1D systems, we demonstrate that in the spinful case the peak conductance takes fractional values that depend on the filling factor of the 1D channel.",

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Resonant fractional conductance through a 1D Wigner chain

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