  We consider observation of Aharonov-Bohm oscillations in clean systems based
on the flow of topologically protected currents in silicene and bilayer
graphene. The chiral channels in these materials are defined by the flips of
the vertical electric field. The line of the flip confines chiral currents
flowing along it in the direction determined by the valley. We present an
electric field profile that forms a crossed ring to which four terminals can be
attached, and find that the conductance matrix elements oscillate in the
perpendicular magnetic field in spite of the absence of backscattering. We
propose a four-probe resistance measurement setup, and demonstrate that the
resistance oscillations have large visibility provided that the system is
prepared in such a way that a direct transfer of the chiral carriers between
the current probes is forbidden.
