Isospin- and momentum-polarized orders in bilayer graphene

Electron bands in the untwisted bilayer graphene flatten out a transverse electric field, offering promising platform for correlated electron physics. We predict that spin/valley isospin magnetism, resembling seen moir\'{e} bands, coexists with momentum-polarized phases occurring via ``flocking transition'' momentum space. This transition results distribution being spontaneously displaced relative to $K$ and $K'$ valley centers. These feature unusual observables such as persistent currents ground state. Momentum-polarized carriers ``sample'' Berry curvature of conduction band, resulting unique behavior anomalous Hall conductivity other effects do not occur previously studied systems.