High-throughput screening for Weyl semimetals with S4 symmetry

A new topological invariant χ is defined in systems with S4 symmetry to diagnose the existence of Weyl fermions. By calculating χ, the computational cost for searching Weyl semimetals is greatly reduced. Recently, Gao et al. implemented this method in the high-throughput screening and found a lot of new Weyl semimetal candidates with exotic properties, providing realistic platforms for future experimental study of the interplay between Weyl fermions and other exotic states.