  We show that the thin films of Weyl semimetals have a regime of parameters in
which they develop very flat Landau bands under strong magnetic fields.
Addressing the case of thin films in a perpendicular magnetic field, we observe
that two different types of Landau states may arise depending on whether the
line connecting a pair of opposite Weyl nodes is parallel or perpendicular to
the direction of the magnetic field. In the latter instance, we show that the
flat Landau bands are made of states peaked at the two faces of the thin film.
When the line connecting the Weyl nodes is parallel to the magnetic field, we
see instead that the states in the Landau bands take the form of stationary
waves with significant amplitude across the bulk of the material. In either
case, the states in the flat levels are confined along longitudinal sections of
the thin film, turning into edge states with distinctive profiles at the
lateral boundaries for the two different types of Hall effect.
