Abstract
AbstractThis chapter describes the size, shape and edge dependence of the electronic properties of graphene quantum dots obtained using the empirical tight-binding model. The effective mass extension of the TB model is discussed, including the effect of the magnetic field. The one-band TB model is extended to the \(sp^2\) TB model and spin-orbit coupling is introduced, followed by the Kane-Mele Hamiltonian and the spin Hall effect in nanoribbons. Triangular quantum dots and rings with zigzag edges as examples of quantum dots with broken sublattice symmetry and a shell of degenerate states at the Fermi level are described. Graphene ribbons and twisted graphene Möbius ribbons as examples of topological insulators where topology is introduced through geometry are discussed.KeywordsGraphene Quantum Dots (GQDs)Triangular Quantum Dots (TGQD)Zigzag EdgesGraphene RibbonsArmchair EdgesThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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