arXiv subjects

A. A. Vasilchenko

Publications and source records attributed to A. A. Vasilchenko.

6 recordsLinked to original sources

arXiv2023

Effect of electron-electron interaction and disorder potential on the localization of two-dimensional electrons in a strong magnetic field

The density functional theory is used to study the electronic structure of a quantum wire in a magnetic field. The Kohn-Sham equations are solved numerically for different values of electron densities and filling factors. The critical density, below which the electron density has a strong spatial inhomogeneity, was found in GaAs quantum wire. An empirical formula for the critical density is obtained. The effect of the disorder potential on the electron density profile in a two-dimensional electron gas is estimated.

cond-mat.mes-hall↗

arXiv2022

Electronic structure of a wide quantum wire in a magnetic field at $ν= 1$

The density functional theory is used to study the electronic structure of a quantum wire in a magnetic field. In a GaAs quantum wire, a critical density has been found, below which the electron density has a strong spatial inhomogeneity. The effect of the disorder potential on the electron density profile in a two-dimensional electron gas is estimated.

cond-mat.mes-hall↗

arXiv2022

A drop model of integer and fractional quantum Hall effects

We present a drop model for integer and fractional quantum Hall effects (FQHE). We show that the two-dimensional electron gas breaks up into regions with filling factors ν = 1 and ν = 0 in disk geometry, and the formation of drops with a finite number of electrons is possible. Sequences of filling fractions are constructed on the basis of experimental data. For all sequences there are initial FQHE states, which correspond to a drop with five electrons. The remaining FQHE states are composite states of a drop with five electrons and one or more pairs of electrons.

cond-mat.mes-hall↗

arXiv2022

Density-functional study of electronic structure of quantum dots in high magnetic fields

Density-functional theory is used to study the electronic structure of quantum dots in a magnetic field. New series of magic numbers are found for the total angular momentum of electrons. The empirical formula for the plateau width is obtained. The effect of a charged impurity on the electronic structure of a quantum dot has been studied.

cond-mat.mes-hall↗

arXiv2022

The Stability of the Quantum Hall State at $ν= 1$ in Bilayer Electron Systems

The ground states of electrons in two vertically coupled quantum dots in the presence of an external magnetic field have been studied within the density functional theory. A phase diagram of the transition to the quantum Hall state in double quantum dots has been plotted for the Landau level filling factor $ν= 1$. It has been shown that the quantum Hall state can be stable for a zero tunnel splitting. The influence of the impurity potential on the stability condition for the quantum Hall state has been analyzed.

cond-mat.mes-hall↗

arXiv2013

Spin polarization of electrons in quantum wires

The total energy of a quasi-one-dimensional electron system is calculated using density functional theory. It is shown that spontaneous ferromagnetic state in quantum wire occurs at low one-dimensional electron density. The critical electron density below which electrons are in spin-polarized state is estimated analytically.

cond-mat.mes-hall↗