Influence of the ordering of impurities on the appearance of an energy gap and on the electrical conductance of graphene
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Date
2018
Authors
Repetsky, Stanislav
Vyshyvana, Iryna
Kruchinin, Sergei
Bellucci, S.
Journal Title
Journal ISSN
Volume Title
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Abstract
In the one-band model of strong coupling, the infuence of substitutional impurity atoms on the energy
spectrum and electrical conductance of graphene is studied. It is established that the ordering of
substitutional impurity atoms on nodes of the crystal lattice causes the appearance of a gap in the
energy spectrum of graphene with width η|δ| centered at the point yδ, where η is the parameter of
ordering, δ is the diference of the scattering potentials of impurity atoms and carbon atoms, and y is
the impurity concentration. The maximum value of the parameter of ordering is η = 2y y , ≤ 1/2 max . For
the complete ordering of impurity atoms, the energy gap width equals 2 δ y . If the Fermi level falls in the
region of the mentioned gap, then the electrical conductance σ 0 αα → at the ordering of graphene, i.e.,
the metal–dielectric transition arises. If the Fermi level is located outside the gap, then the electrical
conductance increases with the parameter of order η by the relation σ y αα ~ − ( ) η 2 1
4
2 −1
. At the
concentration y = 1/2, as the ordering of impurity atoms η→1, the electrical conductance of graphene
σαα → ∞, i.e., the transition of graphene in the state of ideal electrical conductance arises.
Description
Keywords
energy gap, ordering of impurities, electrical conductance, graphene, electrical conductance of graphene, article
Citation
Influence of the ordering of impurities on the appearance of an energy gap and on the electrical conductance of graphene / S. P. Repetsky, I. G. Vyshyvana, S. P. Kruchinin, S. Bellucci // Scientific Reports. - 2018. - Vol. 8, No. 1.