title: Instabilities of the AA-stacked graphene bilayer.
abstract: Tight-binding calculations predict that the AA-stacked bilayer graphene has one electron and one hole conducting band, and that the Fermi surfaces of these bands coincide. We demonstrate that as a result of this degeneracy, the bilayer becomes unstable with respect to a set of spontaneous symmetry violations. Which of the symmetries is broken depends on the microscopic details of the system. For strong on-site Coulomb interaction we find that antiferromagnetism is the most stable order parameter. For an on-site repulsion energy typical for graphene systems, the antiferromagnetic gap can exist up to room temperature.
authors.affiliation: Advanced Science Institute, RIKEN, Wako-shi, Saitama, 351-0198, Japan.
authors.forename: A L
authors.initials: AL
authors.lastname: Rakhmanov
authors.forename: A V
authors.initials: AV
authors.lastname: Rozhkov
authors.forename: A O
authors.initials: AO
authors.lastname: Sboychakov
authors.forename: Franco
authors.initials: F
authors.lastname: Nori