On the electronic spectrum of low-dimensional structures with the symmetry of borders

The features of the electronic spectrum in low-dimensional (quasi-one-dimensional) structures with symmetry of borders have been considered. It has been shown that, in the spinless case, the conical massless (Dirac) form of the spectrum ($\varepsilon({\mathbf k})\propto \pm |{\mathbf k}|$) appears in groups with glide planes. This spectrum is a consequence of forced degeneracy, which appears due to the joint action of the lattice symmetry elements and time reversal invariance. For the spinor representations, the conical shape of the spectrum appears in all groups.