Electronic structures near unmovable nodal points and lines in two-dimensional materials

Unmovable nodal points (UNP) and lines (UNL) are band crossings which positions in the Brillouin zone unaltered by symmetry preserving perturbations. Not only but also structure vicinity is determined little group of a wave vector it's irreducible (co)representations. In this paper we give full set electronic dispersions near all UNPs UNLs non-magnetic, quasi two-dimensional (2D) materials both with without spin-orbit coupling (SOC). Analysis layer gray single double groups gives nineteen different quasiparticles, great majority unavoidable for 2D material belongs to certain groups. These include Weyl Dirac lines, quadratic or cubic splitting, anisotropic cones orientation can be varied e.g. strain etc. We indicated qusiparticles that robust SOC. For convenience, our results concisely presented graphically - as map, not tabular, encyclopedia form. They may use checkpoints fitting experimentally (via ARPES) numerically obtained structures well deeper theoretical investigations.