Spatial extent of a Landauer residual-resistivity dipole in graphene quantified by scanning tunnelling potentiometry

Nature Communications
Philip WillkeMartin Wenderoth

Abstract

Electronic transport on a macroscopic scale is described by spatially averaged electric fields and scattering processes summarized in a reduced electron mobility. That this does not capture electronic transport on the atomic scale was realized by Landauer long ago. Local and non-local scattering processes need to be considered separately, the former leading to a voltage drop localized at a defect, the so-called Landauer residual-resistivity dipole. Lacking precise experimental data on the atomic scale, the spatial extent of the voltage drop remained an open question. Here, we provide an experimental study showing that the voltage drop at a monolayer-bilayer boundary in graphene clearly extends spatially up to a few nanometres into the bilayer and hence is not located strictly at the structural defect. Moreover, different scattering mechanisms can be disentangled. The matching of wave functions at either side of the junction is identified as the dominant process, a situation similar to that encountered when a molecule bridges two contacts.

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Citations

Jan 3, 2016·The Review of Scientific Instruments·F LüpkeB Voigtländer
May 5, 2017·Nature Communications·Philip WillkeMartin Wenderoth
Dec 15, 2015·Physical Chemistry Chemical Physics : PCCP·Nick PapiorMads Brandbyge
Jun 13, 2017·Nature Communications·Felix LüpkeBert Voigtländer
Apr 25, 2020·Proceedings of the National Academy of Sciences of the United States of America·Juho LeeYong-Hoon Kim
Jan 30, 2020·Nature Communications·Anna SinterhaufMartin Wenderoth
Jan 30, 2018·ACS Applied Materials & Interfaces·D Momeni PakdehiH W Schumacher
Apr 10, 2020·Nano Letters·Alessandro De CeccoClemens B Winkelmann
Apr 13, 2018·ACS Nano·Sosuke InuiJustin P Bergfield

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