Quantum Hall States and Phase Diagram of Bilayer Graphene

The quantum Hall states of bilayer graphene for filling factor ν from 0 to 4 are investigated using lowest Landau level approximation. A critical line in the E⊥B plane for both the ν = 0 and 1 case is found. This line separates the (partially) spin polarized and (partially) layer polarized phases in the ν = 0 (1) case. The gaps for all ν are found to scale linearly with B. The existence of phase separation line, the linearity of the gaps, and the hierarchy for gaps of different ν agree well with experiments.