  At the interface of electrostatic potential kink profiles one dimensional
chiral states are found in bilayer graphene (BLG). Such structures can be
created by applying an asymmetric potential to the upper and the lower layer of
BLG. We found that: i) due to the strong confinement by the single kink profile
the uni-directional states are only weakly affected by a magnetic field, ii)
increasing the smoothness of the kink potential results in additional bound
states which are topologically different from those chiral states, and iii) in
the presence of a kink-antikink potential the overlap between the oppositely
moving chiral states results in the appearance of crossing and anti-crossing
points in the energy spectrum. This leads to the opening of tunable minigaps in
the spectrum of the uni-directional topological states.
