Coulomb Impurity Effects on Optical Properties of the System Trapped in Ellipsoidal Confinement Potential

Author: Zaal Machavariani
Keywords: Quantum Dot, Dipol Transition, Potential Well
Annotation:

It has been investigated the influence of the presence of ionized impurity on optical spectra of semiconductor ellipsoidal quantum dots (EQD). For this purpose we calculated eigenfunctions and eigenvalues of electron confined in EQD containing Coulomb impurity. For this purpose first we consider an ellipsoidal quantum dot with rotational symmetry around a given axis (the z axis) and call c and a its axes along the z and x-y directions, respectively. As a model of confining potential we consider the potential that is zero inside the ellipsoid and it is infinity outside. Such model is acceptable either for a quantum dot of a large volume or when the bandgap at the interface is sufficiently large. Using the standard variable change technique one can transform the ellipsoid into a sphere of radius r0 with the same volume. Thus the problem of motion of the charge carriers in ellipsoidal well reduces to the study of their motion in spherical quantum dot with mew effective potential. The optical matrix elements have been calculated for both linearly polarized radiation along the z axis and circularly polarized radiation in the x-y plane relative to transitions from or to the ground state .

Lecture files:

Coulomb Impurity Effects on Optical Properties of the System Trapped in Ellipsoidal Confinement Potential [en]
კულონური მინარევის ზეგავლენა ელიფსოიდური ფორმის პოტენციალურ ველში ჩაჭერილი ნაწილაკისგან შემდგარი სისტემის ოპტიკურ თვისებებზე [ka]