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Impurity-assisted tunneling in graphene

M. Titov
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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.

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M. Titov. 2007-05-07. Impurity-assisted tunneling in graphene. https://doi.org/10.1209/0295-5075%2F79%2F17004

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