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2007

Coulomb interaction, ripples, and the minimal conductivity of graphene

Herbut, Igor F., Juricic, Vladimir, Vafek, Oskar

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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 non-universal.
The low-energy behavior of such a system is governed by the line of fixed points at which both the interaction and disorder are finite, and the density of states is exactly linear.

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K. Nomura and A. H. MacDonald, Phys. Rev. Lett. 98
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Note the lowest data point in Fig. 5 in ref. 1

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