Influence of the Adsorbed Atoms of Potassium on an Energy Spectrum of Graphene

S. P. Repetsky$^{1}$, I. G. Vyshyvana$^{1}$, S. P. Kruchinin$^{2}$, V. B. Molodkin$^{3}$, V. V. Lizunov$^{3}$

$^{1}$Taras Shevchenko National University of Kyiv, 60 Volodymyrska Str., UA-01033 Kyiv, Ukraine
$^{2}$Bogolyubov Institute for Theoretical Physics, NAS of Ukraine, 14-b Metrologichna Str., UA-03143 Kyiv, Ukraine
$^{3}$G.V. Kurdyumov Institute for Metal Physics, NAS of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine

Received: 15.07.2017. Download: PDF

The influence of adsorbed impurity of potassium atoms on the electronic spectrum of graphene is investigated. Electron states of the system are described within the framework of the self-consistent multiband tight-binding model. As shown, for the ordered arrangement of potassium atoms, which reduces energy of the system at issue, a gap can arise in the energy spectrum of graphene. As determined, at the potassium concentration such that the unit cell includes two carbon atoms and one potassium atom, the latter being placed on the graphene surface above a carbon atom at a height of 0.286 nm, the energy gap is equal to $\cong$ 0.25 eV. Such a circumstance is realized, if graphene is placed on a potassium substrate.

Key words: Green function, mass operator, vertex part of mass operator, electron–electron interaction, energy gap.



PACS: 68.43.Bc, 71.20.Tx, 71.27.+a, 71.28.+d, 71.30.+h, 72.10.Di, 73.22.Pr

Citation: S. P. Repetsky, I. G. Vyshyvana, S. P. Kruchinin, V. B. Molodkin, and V. V. Lizunov, Influence of the Adsorbed Atoms of Potassium on an Energy Spectrum of Graphene, Metallofiz. Noveishie Tekhnol., 39, No. 8: 1017—1022 (2017) (in Ukrainian)

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