Spatially resolved electronic inhomogeneities of graphene due to subsurface charges
Andres Castellanos-Gomez, Roel H. M. Smit, Nicol\'as Agra\"it and, Gabino Rubio-Bollinger

TL;DR
This study uses combined microscopy techniques to analyze how subsurface charged impurities cause local electronic inhomogeneities in graphene, revealing nanometer-scale distortions that impact device performance.
Contribution
It introduces a method to resolve individual charged impurity effects on graphene's electronic properties at nanometer scale.
Findings
Inhomogeneities lack long-range order.
Surface impurity density matches macroscopic charge measurements.
Local perturbations significantly affect electronic behavior.
Abstract
We probe the local inhomogeneities in the electronic properties of exfoliated graphene due to the presence of charged impurities in the SiO2 substrate using a combined scanning tunneling and electrostatic force microscope. Contact potential difference measurements using electrostatic force microscopy permit us to obtain the average charge density but it does not provide enough resolution to identify individual charges. We find that the tunneling current decay constant, which is related to the local tunneling barrier height, enables one to probe the electronic properties of graphene distorted at the nanometer scale by individual charged impurities. We observe that such inhomogeneities do not show long range ordering and their surface density obtained by direct counting is consistent with the value obtained by macroscopic charge density measurements. These microscopic perturbations of the…
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