  We show that delaminations in bilayer graphene (BLG) with electrostatically
induced interlayer asymmetry can provide one with ballistic channels for
electrons with energies inside the electrostatically induced BLG gap. These
channels are formed by a combination of valley-polarised evanescent states
propagating along the delamination edges (which persist in the presence of a
strong magnetic field) and standing waves bouncing between them inside the
delaminated region (in a strong magnetic field, these transform into Landau
levels in the monolayers). For inverted stacking between BLGs on the left and
right of the delamination (AB-2ML-BA or BA-2ML-AB), the lowest energy ballistic
channels are gapless, have linear dispersion and appear to be weakly
topologically protected. When BLG stacking order on both sides of the
delamination is the same (AB-2ML-AB or BA-2ML-BA), the lowest energy ballistic
channels are gapped, with gap $\varepsilon_g$ scaling as $\varepsilon_g\propto
W^{-1}$ with delamination width and as $\varepsilon_g\propto\delta^{-1}$ with
the on-layer energy difference within the delamination. Depending on their
width, delaminations may also support several `higher energy' waveguide modes.
Our results are based on both an analytical study of the wavematching of Dirac
states and tight binding model calculations, and we analyse in detail the
dependence of the delamination spectrum on electrostatic conditions in the
structure, such as the vertical displacement field.
