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Single-Particle Properties of Graphene Quantum Dots

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Graphene Quantum Dots

Part of the book series: NanoScience and Technology ((NANO))

Abstract

This 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.

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Author information

Authors and Affiliations

  1. Department of Physics, Izmir Institute of Technology, Izmir, Turkey

    Alev Devrim Güçlü

  2. Institute of Physics, Wrocław University of Technology, Wrocław, Poland

    Pawel Potasz

  3. Emerging Technologies Division, Quantum Theory Group, National Research Council of Canada, Ottawa, ON, Canada

    Marek Korkusinski

  4. Department of Physics, University of Ottawa, Ottawa, ON, Canada

    Pawel Hawrylak

Authors
  1. Alev Devrim Güçlü
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  2. Pawel Potasz
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  3. Marek Korkusinski
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  4. Pawel Hawrylak
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Corresponding author

Correspondence to Alev Devrim Güçlü .

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Güçlü, A.D., Potasz, P., Korkusinski, M., Hawrylak, P. (2014). Single-Particle Properties of Graphene Quantum Dots. In: Graphene Quantum Dots. NanoScience and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44611-9_4

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