Fractional Quantum Conductance Plateaus in Mosaic‐Like Conductors and Their Similarities to the Fractional Quantum Hall Effect. Issue 7 (27th February 2019)

• Record Type: Journal Article
• Authors: Kisslinger, Ferdinand; Rienmüller, Dennis; Ott, Christian; Kampert, Erik; Weber, Heiko B.
• Is Part Of: Annalen der Physik. Volume 531:Issue 7(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-02-27
• Subjects: graphene -- mosaic‐like conductor -- quantum Hall effect; Physics -- Periodicals; Chemistry -- Periodicals; 530.05
• DOI: 10.1002/andp.201800188
• Languages: English
• ISSNs: 0003-3804

Abstract

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. Abstract : A simple model to generate fractional quantum Hall plateaus in the magnetoconductance is reported. The key concept is a mosaic of tiles with integer quantum Hall effect, which are interconnected by metals. Fractional steps in the magnetoconductance are observed. The data are supported by corresponding graphene mosaics. Similarities with and differences to the fractional quantum Hall effect are critically discussed.