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We consider the dimensional crossover in the topological matter, whichinvolves the transformation of different types of topologically protectedzeroes in the fermionic spectrum. In the considered case, the multiple Dirac(Fermi) point in quasi 2-dimensional system evolves into the flat band on thesurface of the 3-dimensional system when the number of atomic layers increases.This is accompanied by formation of the spiral nodal lines in the bulk. We alsodiscuss the topological quantum phase transition at which the surface flat bandshrinks and changes its chirality, while the nodal spiral changes its helicity.

Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface