English

Impurity-assisted tunneling in graphene

Mesoscale and Nanoscale Physics 2007-06-13 v5 Disordered Systems and Neural Networks

Abstract

The electric conductance of a strip of undoped graphene increases in the presence of a disorder potential, which is smooth on atomic scales. The phenomenon is attributed to impurity-assisted resonant tunneling of massless Dirac fermions. Employing the transfer matrix approach we demonstrate the resonant character of the conductivity enhancement in the presence of a single impurity. We also calculate the two-terminal conductivity for the model with one-dimensional fluctuations of disorder potential by a mapping onto a problem of Anderson localization.

Keywords

Cite

@article{arxiv.cond-mat/0611029,
  title  = {Impurity-assisted tunneling in graphene},
  author = {M. Titov},
  journal= {arXiv preprint arXiv:cond-mat/0611029},
  year   = {2007}
}

Comments

6 pages, 3 figures, final version, typos corrected, references added

R2 v1 2026-07-22T11:39:15.233Z