# Coulomb interaction, ripples, and the minimal conductivity of graphene.

@article{Herbut2008CoulombIR, title={Coulomb interaction, ripples, and the minimal conductivity of graphene.}, author={Igor F. Herbut and Vladimir Juri{\vc}i{\'c} and Oskar Vafek}, journal={Physical review letters}, year={2008}, volume={100 4}, pages={ 046403 } }

We argue that the unscreened Coulomb interaction in graphene provides a positive, universal, and logarithmic correction to scaling of zero-temperature conductivity with frequency. The combined effect of the disorder due to wrinkling of the graphene sheet and the long-range electron-electron interactions is a finite positive contribution to the dc conductivity. This contribution is disorder strength dependent and thus nonuniversal. The low-energy behavior of such a system is governed by the line…

## 134 Citations

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