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Higher-fold chiral fermions that go beyond two-fold Weyl fermions haverecently been reported in crystalline systems. Here, we focus on suchexcitations in several binary, ternary and quaternary alloys/compounds withCoGe, BiSbPt and KMgBO3 as the representative examples that belong to thecrystal space group (SG) 198. We found distinct three-fold, four-fold andsix-fold chiral fermions in the bulk via Density Functional computations. Weprovide general symmetry arguments for the protection of these degeneracieswith special emphasis on the four-fold fermions. Our surface spectrasimulations show that the size of Fermi arcs resulting from these chiralfermions are large, robust and untouched from the bulk states due to the nearabsence of trivial bulk Fermi pockets. All these features make these systems --especially CoGe and KMgBO3 -- promising topological semimetal candidates torealize higher-fold fermions in future photo-emission and transportexperiments.

Symmetry protection and giant Fermi arcs from multifold fermions in binary, ternary, and quaternary compounds