  We investigate transport in the network of valley Hall states that emerges in
minimally twisted bilayer graphene under interlayer bias. To this aim, we
construct a scattering theory that captures the network physics. In the absence
of forward scattering, symmetries constrain the network model to a single
parameter that interpolates between one-dimensional chiral zigzag modes and
pseudo-Landau levels. Moreover, we show how the coupling of zigzag modes
affects magnetotransport. In particular, we find that scattering between
parallel zigzag channels gives rise to Aharonov-Bohm oscillations that are
robust against temperature, while coupling between zigzag modes propagating in
different directions leads to Shubnikov-de Haas oscillations that are smeared
out at finite temperature.
