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Discontinuity of dipole-moment matrix elements in ellipsoidally shaped nanoparticles and proﬁles of spectral lines

Kereselidze T., Tchelidze T., Devdariani A.

Opto-Electronics Review

2018

Vol. 26, No. 2

134--140

The behaviour of energy levels and optical spectra of a charged particle (electron or hole) conﬁned within a potential well of ellipsoidal shape is investigated as a function of the shape-anisotropy parameter. If two energy levels of the same symmetry intersect in a perturbation-theory approximation, they move apart on direct diagonalization of the appropriate Hamiltonian. The intersection of the energy levels leads to a discontinuity of the corresponding dipole-moment matrix element. The discontinuity of matrix elements is not reﬂected in the behaviour of transition probabilities which are continuous functions of the shape-anisotropy parameter. The proﬁles of a spectral line emitted or absorbed by an ensemble of ellipsoidally shaped nanoparticles with a Gaussian distribution of size are calculated and discussed.

Exciton energies and probability of their radiative decay in GaN/AIN quantum structures

Tchelidze T., Kereselidze T.

Opto-Electronics Review

2004

Vol. 12, No. 4

441-443

Exciton energies and probabilities of radiative transition from exciton state are calculated in GaN/AlN quantum dots. Electric field conditioned by strain induced and spontaneous polarization is considered by means of tight bind approximation, electron-hole Coulomb interaction is calculated by means of perturbation theory. Despite the presence of an electrical field, the calculated Coulomb energy is significantly increased with respect to bulk material. In large dots, the Coulomb term as well as probability of radiation transition for higher energetic excitons was strongly increased.