%0 Journal Article
%T Euler - Heisenberg effective action and magnetoelectric effect in multilayer graphene
%A M. I. Katsnelson
%A G. E. Volovik
%A M. A. Zubkov
%J Physics
%D 2012
%I arXiv
%R 10.1016/j.aop.2012.12.010
%X The low energy effective field model for the multilayer graphene (at ABC stacking) is considered. We calculate the effective action in the presence of constant external magnetic field $B$ (normal to the graphene sheet). We also calculate the first two corrections to this effective action caused by the in-plane electric field $E$ at $E/B \ll 1$ and discuss the magnetoelectric effect. In addition, we calculate the imaginary part of the effective action in the presence of constant electric field $E$ and the lowest order correction to it due to the magnetic field ($B/E \ll 1$).
%U http://arxiv.org/abs/1206.3973v4