HAL :: [hal-01052977, version 1] Interaction corrections to the minimal conductivity of graphene via dimensional regularization
We compute the two-loop interaction correction to the minimal conductivity of disorder-free intrinsic graphene with the help of dimensional regularization. The calculation is done in two different ways: via density-density and via current-current correlation functions. Upon properly renormalizing the perturbation theory, in both cases, we find that: σ=σ0(1+\al(19−6π)/12)≈σ0(1+0.01\al), where \al=e2/(4πℏv) is the renormalized fine structure constant and σ0=e2/(4ℏ). Our results are consistent with experimental uncertainties and resolve a theoretical dispute.
