Eur. Phys. J. Special Topics 148, 117-125 (2007)
https://doi.org/10.1140/epjst/e2007-00231-7

Interaction effects in single layer and multi-layer graphene

¹ Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, 28049 Madrid, Spain
² Department of Physics, Boston University, 590 Commonwealth Av., Boston, MA, 02115, USA
³ Center of Physics and Departamento de Física, Universidade do Minho, 4710-057 Braga, Portugal

Abstract

We discuss the excitation spectrum, electronic susceptibilities, and possible electronic instabilities in graphene and graphene stacks. The corrections due interactions of Landau levels in graphene are analyzed. At low dopings, and for sufficiently low couplings, single layer graphene is stable against ferromagnetism. On the other hand, a graphene bilayer, and infinite graphite, are unstable towards ferromagnetism and antiferromagnetism.