  We propose a model of spin-polarized-current state for electrons in bilayer
graphene. The model resolves the puzzles as revealed by experiments that (a)
the energy gap $E_{\rm gap}$ of the insulating ground state at the charge
neutrality point (CNP) can be closed by a perpendicular electric field of
either polarity, (b) $E_{\rm gap}$ increases significantly with increasing the
magnetic field $B$, (c) the particle-hole spectrum is asymmetric in the
presence of $B$, (d) there is a peak structure in the electric conductivity at
small $B$ at the CNP, and (e) there are quantum Hall states stemming from
lifting of degeneracy in the lowest Landau level. The model predicts that the
ground state of the system close to the CNP is a ferrimagnet at finite $B$ and
the Hall current is spin polarized.
