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We compute the two-loop interaction correction to the minimal conductivity ofdisorder-free intrinsic graphene with the help of dimensional regularization.The calculation is done in two different ways: via density-density and viacurrent-current correlation functions. Upon properly renormalizing theperturbation theory, in both cases, we find that: $\sigma = \sigma_0\,( 1 +\al\,(19-6\pi)/12) \approx \sigma_0 \,(1 + 0.01\, \al)$, where $\al = e^2 / (4\pi \hbar v)$ is the renormalized fine structure constant and $\sigma_0 = e^2 /(4 \hbar)$. Our results are consistent with experimental uncertainties andresolve a theoretical dispute.

Interaction corrections to the minimal conductivity of graphene via dimensional regularization