Stoner ferromagnetic phase of graphene in the presence of an in-plane magnetic field

We study the effects of an in-plane magnetic field on the ground-state properties of both gapless and gapped graphene sheets within random-phase approximation. The critical magnetic field which leads to a fully spin polarized phase increases by decreasing the carrier density at zero gap indicating that no spontaneous magnetic phase transition occurs. However, at large energy-gap values it decreases by decreasing the density. We find a continuous quantum magnetic phase transition (Stoner phase) for Dirac fermions in a doped graphene sheet. Novel in-plane magnetic field dependence of the charge and spin susceptibilities are uncovered.