Volume 107, Number 5, September 2014
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||22 August 2014|
Interaction corrections to the minimal conductivity of graphene via dimensional regularization
1 Sorbonne Universités, UPMC Univ Paris 06, UMR 7589, LPTHE - F-75005, Paris, France
2 CNRS, UMR 7589, LPTHE - F-75005, Paris, France
3 Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research - 141980 Dubna, Russia
Received: 6 August 2014
Accepted: 7 August 2014
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 , where is the renormalized fine structure constant and . Our results are consistent with experimental uncertainties and resolve a theoretical dispute.
PACS: 72.80.Vp – Electronic transport in graphene / 11.10.Gh – Renormalization / 73.25.+i – Surface conductivity and carrier phenomena
© EPLA, 2014
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