Рассмотрена динамика электромагнитных импульсов бегущих вдоль полупроводниковых квантовых проволок. Получена система эффективных уравнений на компоненту векторного и скалярного потенциала. Установлено, что предельно короткие оптические импульсы могут устойчиво распространяться вдоль квантовых проволок.

The propagation of ultra-short optical pulses in a thin film created by graphene grown on a boron nitride was considered, taking into account non-linear medium characteristics. Electron conduction in such a system described with a long-wave effective Hamiltonian for the low temperatures media. The electromagnetic field is taken in the framework of classical Maxwell equations. Dependence of the pulse shape on the initial pulse amplitude and the parameters of the linear and nonlinear polarization is shown.

The propagation and interaction of two-dimensional bipolar electromagnetic pulses in an array of semiconducting carbon nanotubes have been investigated. The electromagnetic field in the array of carbon nanotubes has been described by the Maxwell’s equations reduced to the non-one-dimensional wave equation. The initial distribution of the field has been specified in the form of approaching breathers bounded by a Gaussian profile in the plane perpendicular to the pulse propagation direction. The numerical solution of the wave equation has revealed the possibility of stable propagation of breathers in the array of carbon nanotubes. It has been found that the interaction of electromagnetic breathers in the array of semiconducting carbon nanotubes has a character of quasi-elastic collisions.

The behavior of electromagnetic pulses passing through semiconducting quantum wires is studied. An effective system of equations for the vector and scalar potential components is obtained.

The propagation of an ultrashort optical pulse in a multilayer structure formed by alternating graphene and boron nitride layers has been considered. Conduction electrons of this system have been described within the long-wavelength effective Hamiltonian in the case of low temperatures, and the electromagnetic field has been taken into account based on classical Maxwell’s equations. The dependence of the evolution on the velocity and maximum amplitude of the ultrashort pulse has been revealed.

Current-voltage characteristics of tunnel contact between semiconducting (and conducting) carbon nanotubes (CNT) of various diameters and system of periodically located quantum dots ( and also in contact to metal) was obtained using density of states (DOS) investigation. DOS has been calculated by means of the method of attached cylindrical waves. At certain parameters for quantum dots, the current-voltage characteristics observed testify to the presence of negative differential conductivity.

The current-voltage characteristics of a tunneling contact between two graphene nanoribbons containing impurity atoms are obtained based on the previously calculated density of states. The dependences on the nanoribbon geometrical and energy characteristics are calculated.

The propagation of an ultimately short optical pulse in a layered structure composed of graphene-boron-nitride bilayers representing waveguide analogs has been theoretically studied. The motion of conduction electrons in this system at low temperatures is described in terms of a long-wavelength effective Hamiltonian, and the electromagnetic field is taken into account on the basis of the classical Maxwell equations. It is established that the amplitude of the propagating ultimately short optical pulse is virtually independent of the system characteristics.

The propagation of ultra-short optical pulses in a thin film created by graphene grown on a boron nitride base will be considered, taking into account the environment's dispersion characteristics, electron conduction in such a system described by the framework of an effective long-wave Hamiltonian for low-temperature media. The electromagnetic field is taken as classical Maxwell's. We reveal the dependence of the electric field on the maximum amplitude of ultra-short optical pulses, as well as on empirical dispersion constants.

Построена модель адсорбции атомарного водорода, в основе которой лежит однопримесная периодическая модель Андерсона, на поверхности однослойных углеродных нанотрубок “zig–zag” и “arm–chair” типа. Изучены особенности зонной структуры углеродных нанотрубок, обусловленные адсорбцией атомов водорода. Показано уменьшение запрещенной щели в результате адсорбции, установлена ее зависимость от диаметра полупроводящих нанотрубок. Сделан вывод, что построенная модель применима для изучения адсорбции других одновалентных атомов на поверхности углеродных частиц.

The propagation of an extremely short optical pulse in a layered structure composed of graphene and boron nitride is studied, the conduction electrons of this system are described in terms of the long-wave-length effective Hamiltonian in the case of low temperatures, and the electromagnetic field is taken into account on the basis of the classical Maxwell equations. A dependence on the velocity and maximum amplitude of an extremely short pulse is revealed.

In this paper we study the electron energy spectrum corresponding to Landau levels in doped graphene when an external magnetic field is applied in the direction normal to the graphene planar sheet. The derived dispersion relation for the electrons in the doped graphene allows us to determine the dependence of the electrical conductivity on the applied magnetic field. This relationship between electrical conductivity and applied magnetic field is further analyzed for different characteristics of the impurities; specifically the potential of hybridization and the energy of the adsorbed atom.

The propagation of an ultrashort optical pulse in the multilayered structure formed by alternating graphene and boron nitride layers is considered. Conduction electrons of this system at low temperatures are described by the effective long-wavelength Hamiltonian, and the electromagnetic field is considered based on the classical Maxwell equations. Dependence of the evolution on the ultrashort pulse amplitude and nanoribbon layer width is established.

Maxwell equations describing an extremely short pulse propagating in impurity carbon nanotubes placed in a dispersive nonmagnetic medium are analyzed with allowance for the nonlinearity of the medium. The dependences of the magnetic field intensity on the initial pulse amplitude and the parameters of the medium are revealed.

A model for the adsorption of atomic hydrogen on the surfaces of single-walled zig-zag and armchair carbon nanotubes is constructed on the basis of the single-impurity periodic Anderson model. Features of the bands caused by the adsorption of hydrogen atoms in the structure of carbon nanotubes are studied. A reduction in the forbidden gap as a result of adsorption is revealed, and its dependence on the diameter of the semiconducting nanotubes is established. It is concluded that the model can be used to study the adsorption of other monovalent atoms on the surfaces of carbon particles.

The current-voltage characteristic of the tunneling current of the contact graphene nanoribbon – quantum dots is obtained based on the calculated state density. Dependences on the geometrical nanoribbon characteristics are drawn.

The specific features of the Ruderman-Kittel-Kasuya-Yosida interaction in an impurity graphene bilayer have been calculated in the framework of the s-d model. Hydrogen atoms are considered as impurities. The calculations have demonstrated that the antiferromagnetic impurity-spin ordering is preferable at short distances, while as the distance increases, the ordering becomes ferromagnetic. The dependences of the exchange interaction constant on the problem parameters are shown.

The results of theoretical quantum-statistical research of atomic hydrogen adsorption on the graphene surface within the framework of the periodic Anderson’s model have been presented. The band structure of graphene with adsorbed hydrogen atoms is calculated by the Green's function method. The work is supported by The Education Ministry of Russian Federation (project No. NK-16(3)).

The periodic Anderson model and the average electron method are used to show that an electric field normal to an applied dc electric field can spontaneously appear in impurity-containing graphene. This effect can be related to a nonequilibrium electron subsystem in graphene. The characteristics of the spontaneous field are revealed as a function of the problem parameters.

The propagation of discrete solitons in the bigraphene waveguides was calculated according to the Anderson model. An effective equation analogous to the classical sine-Gordon formula was obtained. The dependence of energy distribution between the waveguides of the graphene bilayers with adsorbed atomic hydrogen on the initial pulse width was studied.