  Fully taking into account of the honeycomb lattice structure, fractional
quantum Hall states of graphene are considered by a pseudopotential projected
into the n = 0 Landau band. By using a chirality as an internal degree of
freedom, the Chern number matrices are defined and evaluated numerically.
Quantum phase transition induced by changing a range of the interaction is
demonstrated which is associated with chirality ferromagnetism. The
chirality-unpolarized ground state is consistent with the Halperin 331 state of
the bilayer quantum Hall system.
