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Fractional quantum conductance plateaus in mosaic-like conductors and their similarities to the fractional quantum hall effect
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Kisslinger, Ferdinand, Rienmüller, Dennis, Ott, Christian, Kampert, Erik and Weber, Heiko B. (2019) Fractional quantum conductance plateaus in mosaic-like conductors and their similarities to the fractional quantum hall effect. Annalen der Physik, 531 (7). 1800188. doi:10.1002/andp.201800188 ISSN 0003-3804.
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Official URL: http://dx.doi.org/10.1002/andp.201800188
Abstract
A simple route to generate magnetotransport data is reported that results in fractional quantum Hall plateaus in the conductance without invoking strongly correlated physics. Ingredients to the generating model are conducting tiles with integer quantum Hall effect and metallic linkers, further Kirchhoff rules. When connecting few identical tiles in a mosaic, fractional steps occur in the conductance values. Richer spectra representing several fractions occur when the tiles are parametrically varied. Parts of the simulation data are supported with purposefully designed graphene mosaics in high magnetic fields. The findings emphasize that the occurrence of fractional conductance values, in particular in two‐terminal measurements, does not necessarily indicate interaction‐driven physics. The importance of an independent determination of charge densities is underscored and similarities with and differences to the fractional quantum Hall effect are critically discussed.
Item Type: | Journal Article | ||||||||||||
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Subjects: | Q Science > QC Physics T Technology > TK Electrical engineering. Electronics Nuclear engineering |
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Divisions: | Faculty of Science, Engineering and Medicine > Engineering > WMG (Formerly the Warwick Manufacturing Group) | ||||||||||||
Library of Congress Subject Headings (LCSH): | Electric conductors, Quantum Hall effect | ||||||||||||
Journal or Publication Title: | Annalen der Physik | ||||||||||||
Publisher: | Wiley - VCH Verlag GmbH & Co. KGaA | ||||||||||||
ISSN: | 0003-3804 | ||||||||||||
Official Date: | July 2019 | ||||||||||||
Dates: |
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Volume: | 531 | ||||||||||||
Number: | 7 | ||||||||||||
Article Number: | 1800188 | ||||||||||||
DOI: | 10.1002/andp.201800188 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Reuse Statement (publisher, data, author rights): | This is the peer reviewed version of the following article: Kisslinger, F., Rienmüller, D., Ott, C., Kampert, E., Weber, H. B., ANNALEN DER PHYSIK 2019, 1800188. https://doi.org/10.1002/andp.201800188, which has been published in final form at https://doi.org/10.1002/andp.201800188. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. | ||||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
Date of first compliant deposit: | 9 April 2019 | ||||||||||||
Date of first compliant Open Access: | 27 February 2020 | ||||||||||||
RIOXX Funder/Project Grant: |
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