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We study the effects of an in-plane magnetic field on the ground stateproperties of both gapless and gapped graphene sheets within Random PhaseApproximation. The critical magnetic field which leads to a fully spinpolarized phase increases by decreasing the carrier density at zero gapindicating that no spontaneous magnetic phase transition occurs. However, atlarge energy gap values it decreases by decreasing the density. We find acontinuous quantum magnetic phase transition (Stoner phase) for Dirac fermionsin a doped graphene sheet. Novel in-plane magnetic field dependence of thecharge and spin susceptibilities are uncovered.

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