  Topological Weyl semimetals represent a novel class of non-trivial materials,
where band crossings with linear dispersions take place at generic momenta
across reciprocal space. These crossings give rise to low-energy properties
akin to those of Weyl fermions, and are responsible for several exotic
phenomena. Up to this day, only a handful of Weyl semimetals have been
discovered, and the search for new ones remains a very active area. The main
challenge on the computational side arises from the fact that many of the tools
used to identify the topological class of a material do not provide a complete
picture in the case of Weyl semimetals. In this work, we propose an alternative
and inexpensive, criterion to screen for possible Weyl fermions, based on the
analysis of the band structure along high-symmetry directions in the absence of
spin-orbit coupling. We test the method by running a high-throughput screening
on a set of 5455 inorganic bulk materials and identify 49 possible candidates
for topological properties. A further analysis, carried out by identifying and
characterizing the crossings in the Brillouin zone, shows us that 3 of these
candidates are Weyl semimetals. Interestingly, while these 3 materials
underwent other high-throughput screenings, none had revealed their topological
behavior before.
