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We have performed high-resolution angle-resolved photoemission spectroscopy(ARPES) on trigonal tellurium consisting of helical chains in the crystal.Through the band-structure mapping in the three-dimensional Brillouin zone, wefound a definitive evidence for the band splitting originating from the chiralnature of crystal. A direct comparison of the band dispersion between the ARPESresults and the first-principles band-structure calculations suggests thepresence of Weyl nodes and tiny spin-polarized hole pockets around the H point.The present result opens a pathway toward studying the interplay among crystalsymmetry, band structure, and exotic physical properties in chiral crystals.

Band splitting and Weyl nodes in trigonal tellurium studied by angle-resolved photoemission spectroscopy and density functional theory