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We study a many-body ground state of graphene in perpendicular magneticfields. Chiral symmetry in graphene enables us to determine the many-bodyground state, which turns out to be a doubly degenerate chiral condensate forthe half-filled (undoped) case. In the ground state a prominent chargeaccumulation emerges along zigzag edges. We also show that gapless excitationsare absent despite the presence of the robust edge modes, which is consistentwith the Chern number C = 0.

Chiral Symmetry and Electron-Electron Interaction in Many-Body Gap Formation in Graphene