Impurity-assisted tunneling in graphene

Authors :: Mikhail Titov
Publication Year :: 2006
Publisher :: arXiv, 2006.
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.<br />Comment: 6 pages, 3 figures, final version, typos corrected, references added