  Semiconductor superlattices may display dispersions that are degenerate
either at the zone center or zone boundary. We show that they are linear upon
the wave-vector in the vicinity of the crossing point. This establishes a
realisation of massless Dirac bands within semiconductor materials. We show
that the eigenstates and the corresponding Wannier functions of these
superlattices have peculiar symmetry properties. We discuss the stability of
the properties of such superlattices versus the electron in-plane motion. As a
distinct fingerprint, the inter-subband magneto-absorption spectrum for such
superlattices is discussed.
