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

Abstract

В роботі досліджено вплив адсорбованої домішки атомів Калію на елект-ронний спектер графену. Електронні стани системи описано в рамках са-моузгодженого багатозонного моделю сильного зв'язку. Показано, що при упорядкованому розташуванні атомів Калію, яке понижує енергію системи, в енергетичному спектрі графену може виникати щілина. Так, за концентрації Калію, коли на елементарну комірку приходиться два атоми Карбону і один атом Калію, який розташований на поверхні графе-ну над атомом Карбону на віддалі у 0,286 нм, величина енергетичної щі-лини складає ≅ 0,25 еВ. Така обставина реалізується, коли графен знахо-Corresponding author: Stanislav Petrovych Repetsky

Electron Structure and Electric Conductivity of Graphene with a Nitrogen Impurity

“…The researches were carried out, by using the method of cluster expansion of two-time Green's functions for the electron subsystem in a disordered crystal, which was developed in works [8][9][10][11][12][13]. In this method, the approximation of coherent potential comprises the zeroth-order approximation.…”

“…Using the Kubo formula and the indicated diagram technique, in works [9][10][11][12], an expression for the electric conductivity of the electron subsystem in a disordered crystal was obtained. Neglecting the contributions of the scattering by clusters composed of two and more sites, the static conductivity can be written in the form [11][12][13]…”

“…𝜀) is the Fermi distribution function, 𝑉 the volume of the elementary cell, 𝑒 the electron charge, and Planck's constant. In formula (3), 𝐺 𝐼𝐼 𝛼𝛽 (𝜀 1 , 𝜀 2 ) is a component of two-particle Green's function, which is expressed in terms of the vertex function for the mass operator of electron-electron interaction [11]. Numerical calculations showed that the contribution of the last term does not exceed a few percent; therefore, it was neglected in our further calculations.…”

Energy spectrum of graphene with adsorbed potassium atoms

“…The dependence of the energy of an electron on the wave vector for graphene is calculated from the equation for Green's function poles for the electron subsystem [6][7][8][9][10] :…”

Single nucleotide polymorphism genotyping using DNA sequencing on multiwalled carbon nanotubes monolayer by CNT-plasmon resonance

“…Moreover, decorating graphene with metal atoms (adatoms), one can obtain a transport of charged carriers with spin "up" ("down"). 18,19 Nitrogen atoms in nucleotides hold lone-electron pairs. Therefore, DNA-sensor based on the spindependent charged transport in graphene-like materials could be high-sensitive to the spin configuration CNT structure that is not destroyed in strong electromagnetic fields, and plasmon waves (oscillations) can be excited.…”