Graphene Quantum Dots, Graphene Non-circular n–p–n-Junctions: Quasi-relativistic Pseudo Wave and Potentials
In our work, we build an atomic-like GQD-model and look for a GQD pseudopotential barrier, which is given by a set of well pseudopotentials for individual carbon atoms of the GQD. Numerical modelling of large-size GQDs has been performed in hydrodynamic approximation. It has been shown that pseudopotential removes degeneracy of energy levels for GQD-supercell and localizes valent electrons of the GQD-model on holes of n–p–n graphene-junction. Non-spherical symmetry of GQD wave functions leads to lifting of spin and valley degeneracy.
KeywordsGraphene quantum dots Graphene non-circular n–p–n-junctions GQD-model GQD pseudopotential barrier
- 4.Soldatov AV, Bogolyubov NN Jr, Kruchinin SP (2006) Method of intermediate problems in the theory of Gaussian quantum dots placed in a magnetic field. Condes Matter Phys 9(1):1Google Scholar
- 6.Kruchinin SP, Repetsky SP, Vyshyvana IG (2016) Spin-dependent transport of carbon nanotubes with chromium atoms. In: Bonca J, Kruchinin S (eds) Nanpmaterials for security. Springer, Dordrecht, pp 65–97Google Scholar
- 11.Fock VA (1978) Fundamentals of quantum mechanics. MIR Publishing, MoskouGoogle Scholar
- 12.Krylova H, Hurski L (2013) Spin polarization in strongly correlated systems. LAP Lambert Academic Publishing. Saarbrücken, GermanyGoogle Scholar