Symmetry classification of energy bands in graphene and silicene

Abstract

We present the results of the symmetry classification of the electron energy bands in graphene and silicene using group theory algebra and the tight--binding approximation. The analysis is performed both in the absence and in the presence of the spin-orbit coupling. We also discuss the bands merging in the Brillouin zone symmetry points and the conditions for the latter to become Dirac points.

LaTeX, 6 pages, 2 eps Figures. A Figure and a citation were added. Accepted for publication in Graphene

References in corpus (5)

• Electric Field Effect in Atomically Thin Carbon Films
• Low-energy effective Hamiltonian involving spin-orbit coupling in Silicene and Two-Dimensional Germanium and Tin
• Electrically Tunable Band Gap in Silicene
• Existence of bulk chiral fermions and crystal symmetry
• Symmetry classification of energy bands in graphene

Cited by in corpus (6)

• Energy bands in graphene: Comparison between the tight-binding model and {\it ab initio} calculations
• Electronic properties of single-layer antimony: Tight-binding model, spin-orbit coupling and the strength of effective Coulomb interactions
• Tight-binding model and ab initio calculation of silicene with strong spin-orbit coupling in low-energy limit
• Real-space method for first-principles electron-transport calculations: self-energy terms of electrodes for large systems
• Spin splitting and spin Hall conductivity in buckled monolayers of the group 14: First-principles calculations
• Opening of a Gap in Graphene Due to Supercell Potential: Group Theory Point of View