Euler - Heisenberg effective action and magnetoelectric effect in multilayer graphene

M. I. Katsnelson; G. E. Volovik; M. A. Zubkov

doi:10.1016/j.aop.2012.12.010

Euler - Heisenberg effective action and magnetoelectric effect in multilayer graphene

Mesoscale and Nanoscale Physics 2013-02-01 v4 High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory

Authors: M. I. Katsnelson , G. E. Volovik , M. A. Zubkov

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Abstract

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 ( $B/E \ll 1$ ).

Keywords

multilayer graphene Euler-Heisenberg effective action magnetoelectric effect ABC stacking constant magnetic field electric field effective field model

Cite

@article{arxiv.1206.3973,
  title  = {Euler - Heisenberg effective action and magnetoelectric effect in multilayer graphene},
  author = {M. I. Katsnelson and G. E. Volovik and M. A. Zubkov},
  journal= {arXiv preprint arXiv:1206.3973},
  year   = {2013}
}

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Latex, 24 pages, accepted for publication in Annals of Physics

Euler - Heisenberg effective action and magnetoelectric effect in multilayer graphene

Abstract

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