Potential fluctuations in graphene due to correlated charged impurities in substrate
Materials Science
2013-10-25 v1 Statistical Mechanics
Abstract
We evaluate the autocorrelation function of the electrostatic potential in doped graphene due to nearby charged impurities. The screening of those impurities is described by a combination of the polarization function for graphene in random phase approximation with the electrostatic Green's function of the surrounding dielectrics. Using the hard-disk model for a two-dimensional distribution of impurities, we show that large correlation lengths between impurities can give rise to anti-correlation in the electrostatic potential, in agreement with recent experiments.
Keywords
Cite
@article{arxiv.1310.4881,
title = {Potential fluctuations in graphene due to correlated charged impurities in substrate},
author = {Rastko Anicic and Zoran Miskovic},
journal= {arXiv preprint arXiv:1310.4881},
year = {2013}
}
Comments
To be published in to Applied Physics Letters