Superfluid Insulator transition of quantum Hall domain walls in bilayer graphene

The quantum Hall ferromagnetic state of bilayer graphene at zero filling when subject to a kink like perpendicular electric field manifests domain walls in the electronic state and low energy collective modes confined to move along them In particular it is shown that two pairs of collective helical modes are formed at opposite sides of the kink each pair consisting of modes with identical helicities We derive an effective model for the quantum dynamics of these modes in terms of two