Аннотация:A new type of massless Dirac fermions in crystalline threedimensional topological insulators (threedimen
sional twodimensional situation) has been predicted. The spectrum has fourfold degeneracy at the top
of the twodimensional Brillouin zone (M point) and twofold degeneracy near the M point. Crystal symmetry
along with the time reversal invariance in threedimensional topological insulators allows fourfold degenerate
Dirac cones, which are absent in the classification of topological features in R.J. Slager et al., Nat. Phys. 9,
98 (2013). The Hamiltonian in the cited work does not contain Dirac singularities with more than twofold
degeneracy. For this reason, the corresponding topological classification is incomplete. The longitudinal
magnetic field in the spinless case holds the massless dispersion law of fermions and does not lift fourfold
degeneracy. In the spinor case, the magnetic field lifts fourfold degeneracy, holding only twofold degeneracy,
and results in the appearance of a band gap in the spectrum of fermions.