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arXiv · 1407.7501

Interaction corrections to the minimal conductivity of graphene via dimensional regularization

S. Teber·A. V. Kotikov
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Abstract

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: $σ= σ_0\,( 1 + \al\,(19-6π)/12) \approx σ_0 \,(1 + 0.01\, \al)$, where $\al = e^2 / (4 π\hbar v)$ is the renormalized fine structure constant and $σ_0 = e^2 / (4 \hbar)$. Our results are consistent with experimental uncertainties and resolve a theoretical dispute.

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S. Teber, A. V. Kotikov. 2014-07-30. Interaction corrections to the minimal conductivity of graphene via dimensional regularization. https://doi.org/10.1209/0295-5075%2F107%2F57001

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