  We show that the strong coupling of pseudospin orientation and charge carrier
motion in bilayer graphene has a drastic effect on transport properties of
ballistic p-n-p junctions. Electronic states with zero momentum parallel to the
barrier are confined under it for one pseudospin orientation, whereas states
with the opposite pseudospin tunnel through the junction totally uninfluenced
by the presence of confined states. We demonstrate that the junction acts as a
cloak for confined states, making them nearly invisible to electrons in the
outer regions over a range of incidence angles. This behavior is manifested in
the two-terminal conductance as transmission resonances with non-Lorentzian,
singular peak shapes. The response of these phenomena to a weak magnetic field
or electric-field-induced interlayer gap can serve as an experimental
fingerprint of electronic cloaking.
