Electronic structures near unmovable nodal points and lines in two-dimensional materials
arXiv:2212.09834 · doi:10.1088/1751-8121/accf51
Abstract
Unmovable nodal points (UNP) and lines (UNL) are band crossings which positions in the Brillouin zone are unaltered by symmetry preserving perturbations. Not only positions but also the band structure in the vicinity is determined by the little group of a wave vector and it's irreducible (co)representations. In this paper we give the full set of electronic dispersions near all UNPs and UNLs in non-magnetic, quasi two-dimensional (2D) materials both with and without spin-orbit coupling (SOC). Analysis of all layer gray single and double groups gives nineteen different quasiparticles, great majority of which are unavoidable for a 2D material which belongs to certain layer groups. These include Weyl and Dirac nodal lines, dispersions with quadratic or cubic splitting, anisotropic Weyl and Dirac cones which orientation can be varied by e.g. strain etc. We indicated qusiparticles that are robust to SOC. For convenience, our results are concisely presented graphically - as a map, not in a tabular, encyclopedia form. They may be of use as checkpoints or for fitting of experimentally (via e.g. ARPES) and numerically obtained electronic band structures as well as for deeper theoretical investigations.
arXiv comment16 pages, 2 figures
References in corpus (36)
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Two-dimensional materials from high-throughput computational exfoliation of experimentally known compounds
- Topological Materials: Weyl Semimetals
- Topological nodal semimetals
- Topological nodal line semimetals with and without spin-orbital coupling
- Topological nodal line semimetals
- Dirac Semimetals in Two Dimensions
- Double crystallographic groups and their representations on the Bilbao Crystallographic Server
- Topological Semimetals from first-principles
- Existence of bulk chiral fermions and crystal symmetry
- Filling constraints for spin-orbit coupled insulators in symmorphic and non-symmorphic crystals
- Symmetry Demanded Topological Nodal-line Materials
- Tunable Line Node Semimetals
- Filling-Enforced Gaplessness in Band Structures of the 230 Space Groups
- Spin-Orbit Semimetals in the Layer Groups
- Flat band in topological matter: possible route to room-temperature superconductivity
- Systematic investigation of emergent particles in type-III magnetic space groups
- Encyclopedia of emergent particles in type-IV magnetic space groups
- Exhaustive constructions of effective models in 1651 magnetic space groups
- Complete classification of band nodal structures
- Topological band crossings in hexagonal materials
- Two-dimensional topological semimetals
- Kramers Nodal Line Metals
- Symmetry-enforced band crossings in tetragonal materials: Dirac and Weyl degeneracies on points, lines, and planes
- Dirac phonons in two-dimensional materials
- Irreducible Representations of Diperiodic Groups
- Symmetry-enforced topological band crossings in orthorhombic crystals: Classification and materials discovery
- Symmetry-enforced Band Nodes in 230 Space Groups
- Symmetry-protected Nodal Points and Nodal Lines in Magnetic Materials
- Encyclopedia of emergent particles in 528 magnetic layer groups and 394 magnetic rod groups
- Type-II topological metals
- Pyramids and cootie catchers: new massless fermions in 2D materials
- Symmetry guaranteed Dirac-line semimetals in two-dimensions against strong spin-orbit coupling
- Existence of Dirac cones in Brillouin zone of diperiodic atomic crystals according to group theory
- Fully linear band crossings at high symmetry points in layers: classification and role of spin-orbit coupling and time reversal
- Irreducible and site symmetry induced representations of single/double ordinary/gray layer groups