Electronic States in a Cylindrical Quantum Dot in the Presence of Parallel Electrical and Magnetic Fields

Abstract

In this article, we investigate an exactly solvable model, describing the behavior of electrons in a cylindrical quantum dot GaAs / Ga 1-x Al x As with parabolic confinement potential under the influence of external electrical and magnetic fields, directed along the axes of the cylinder. The wave-function and energy levels of the electron are found. An exact analytical expression for the energy of Stark shift is obtained. It has been shown that only the quadratic Stark effect takes place in the considered system. On the basis of the obtained results, the coefficient of direct interband transition in the system is calculated.

KANTBP 2.0: New version of a program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach

“…The third-type boundary conditions at ρ = ρ min are formulated by using known asymptotics for a set of linear independent regular solutions for problems under consideration [2][3][4][5][6][7][8][9]. This approach can be used in calculations of effects of electron screening on low-energy fusion cross sections [10][11][12][13], channeling processes [14,15], threshold phenomena in the formation and ionization of (anti)hydrogen-like atoms and ions in magnetic traps [16], quantum dots in magnetic field [17][18][19] and potential scattering with confinement potentials [20].…”

Optical properties of spherical quantum dot with modified Pöschl–Teller potential

“…These structures are interesting because of the fact that charge carrier (CC) motions are restricted in all three directions, which gives the possibility for physical characteristics effective control of those structures [4][5][6][7]. Modern technologies make it possible to control the growth of quantum dots.…”

Analytical and numerical calculations of spectral and optical characteristics of spheroidal quantum dots

“…Electronic, kinetic, optical and other properties of QDs have been investigated experimentally and theoretically in many papers [4][5][6][7][8][9][10][11][12][13]. Particularly, the optical absorption characteristics of QDs have been shown to be strongly correlated with their geometry, on one hand, and with their physical-chemical properties, on the other hand.…”