| Issue |
EPL
Volume 107, Number 5, September 2014
|
|
|---|---|---|
| Article Number | 57001 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/107/57001 | |
| 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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