Agenda

Résumé : In this talk, research has been carried out on the electronic properties of nanostructured graphene. We focus our attention on trapped states of the proposed systems such as spherical and toroidal graphene quantum dots (GQDs). Using a continuum model, by solving the Dirac-Weyl equation, and applying periodic boundary conditions of two types, i.e., either with zigzag edges only or with both armchair and zigzag edges, we obtain analytical results for energy levels yielding self-similar energy bands located subsequently one after another on the energy scale. Only for the toroidal quantum dot the distribution of electron density is like Bohr atomic orbitals [1].
By carrying out a computation in the Lifshitz tight-binding one-electron model, we obtain the energy spectrum and electrical conductance of graphene, in the presence of substitutional impurity atoms, thus assessing the influence of the latter. In the weak-scattering approximation, we study specific features of the electron energy spectrum The regions of localization of electron impurity states, which arise at the edges of the spectrum and edges of the energy gap, are investigated [2,3].

1. Kruchinin S. and others, Electronic properties and quasi-zero-energy states of graphene quantum dots. Physical Review B,103, 2 235102 (2021).
2. Kruchinin S. and others, Influence of the ordering of impurities on the appearance of an energy gap and on the electrical conductance of graphene. Scientific Reports, 8:9123(2018).
3. Kruchinin S.and others, Effect of impurities ordering in the electronic spectrum and conductivity of graphene. Physics Letters A, 126401 (2020).