The electronic properties of rare-earth arsenides have been calculated from
first principles. In the calculations we have treated the rare-earth f ele
ctrons both as core-like and as valence-like electrons. We consider the cha
nges in the energy bands and in the density of states near the Fermi level
which are found to be relevant, except for the case of LuAs, and discuss th
is in relation with the role played from the rare-earth 5d derived states.
Moreover we show that the rare-earth 5d related bands are particularly sens
itive to the variation of the lattice constant; change in the lattice const
ant of less than 1% leads to a different behaviour with respect to the cros
sing of the rare-earth 5d derived bands and the As 4p derived bands along t
he Delta -direction. This point is discussed in connection with the possibi
lity of having a semimetal-semiconductor transition in the rare-earth arsen
ides.