Polaronic exciton in a parabolic quantum dot

Abstract

A calculation of the variations of the energy and oscillator strength of the ground state of an exciton in an ionic quantum dot as a function of the dot size, using a parabolic confining potential and a variational approach, is presented. The strong exciton -phonon interaction is taken into account by using an effective potential between the electron and the hole as derived by Pollmann and Büttner. The values of the exciton binding energies calculated using this potential are compared with those obtained using statically screened Coulomb potential and are found to be considerably larger for all values of the quantum dot size. In small quantum dots, the electron -hole correlation is reduced as the single particle energies scale at a much faster rate than the interaction energy. This is manifested in the behavior of oscillator strength, which becomes less dependent on the form of the effective interaction as the quantum dot size is reduced.

Binding energies of excitons in II–VI compound‐semiconductor based quantum well structures

“…The same formalism was used for the study of excitonic properties in polar quantum dots and satisfactory results were obtained [7,8]. Here we provide a very brief description of our calculations, and the results of the application of our formalism to the above mentioned ZnSe and ZnS based quantum wells for the sake of completeness.…”

Excitonic spectra of wide parabolic quantum wells

“…Assuming a certain value of the coherence radius ρ 0 , we have determined the lowest excitonic eigenfunction ψ 0 . Finally, taking a certain value of the damping parameter Γ , we have solved the constitutive equation (11), obtaining the coherent amplitudes. From the amplitudes we have computed the mean dielectric susceptibility (46) and the absorption coefficient (47).…”

“…The structures with parabolic confinement have attracted more attention in the recent decades (for example, Refs. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]). In typical (narrow) quantum wells (QW) with the dimension of, say, one excitonic Bohr radius in the growth direction we observe only a few excited states.…”

Magneto-polaron induced intersubband optical transition in a wide band gap II–VI semiconductor quantum dot

“…where H is the Hamiltonian of the system as given in Equation (1), and E and are the eigen energies and the wave functions of the problem respectively. The energies are calculated using the variation approach taking the proper choice of the wave functions.…”