▎ 摘　　要

With the two-band continuum model, we study the broken inversion and time-reversal symmetry state of electrons with finite-range repulsive interactions in bilayer graphene. In the state, there are overlapped loop currents in each layer. With the analytical solution to the mean-field Hamiltonian, we obtain the electronic spectra. The ground state is gapped. In the presence of the magnetic field B, the energy gap grows with increasing B, in excellent agreement with the experimental observation. Such an energy-gap behavior originates from the disappearance of a Landau level of n = 0 and 1 states. The present result resolves explicitly the puzzle of the gap dependence of B. DOI: 10.1103/PhysRevB.86.235126