Linear Response and the Thomas-Fermi Approximation in Undoped Graphene
Mesoscale and Nanoscale Physics
2010-09-07 v1 Materials Science
Abstract
We analyze the range of validity of Thomas Fermi theory for describing charge density modulations induced by external potentials in neutral graphene. We compare exact results obtained from a tight-binding calculation with those of linear response theory and the Thomas Fermi approximation. For experimentally interesting ranges of size and density amplitudes (electron densities less than , and spatial length scales below ), linear response is significantly more accurate than Thomas Fermi theory.
Keywords
Cite
@article{arxiv.0904.4400,
title = {Linear Response and the Thomas-Fermi Approximation in Undoped Graphene},
author = {L. Brey and H. A. Fertig},
journal= {arXiv preprint arXiv:0904.4400},
year = {2010}
}