Resonant energy transfer in quantum dots: Frequency-domain luminescent spectroscopy

Electron-electron scattering in a double quantum dot: Effective mass approach

“…We also show that when the values of the dielectric constants of the QDs and the matrix are close enough, the screening of dipole-dipole and dipole-multipole interactions between two spherical QDs can be approximated by the same dielectric constant, as it has been done in our previous work. 6,11 To simplify the expression for the matrix element of the interaction potential, we start from the Fourier expansion…”

“…͑18͒, as discussed in our previous work. 6 In order to maintain the spherical symmetry of the task, one must neglect the presence of the wave function of the first QD in the second QD and vice versa. For example, the integration over r I should be performed inside the QDs ͑0 Ͻ r I Ͻ R I ͒ and inside the spherical layer of matrix ͑R I Ͻ r I Ͻ r − R II ͒.…”

“…Resonant energy transfer due to Coulomb interaction in ordered structures of quantum dots ͑QDs͒ has received much attention in recent theoretical [2][3][4][5][6] and experimental [7][8][9] investigations. This phenomenon has been studied using several different approaches, including tight-binding 2 and pseudopotential 5 calculations, a quantum-electrodynamical approach 3,10 and using an effective mass approximation.…”

“…This phenomenon has been studied using several different approaches, including tight-binding 2 and pseudopotential 5 calculations, a quantum-electrodynamical approach 3,10 and using an effective mass approximation. 4,6 Previous theoretical treatments have been primarily directed to the investigation of resonant energy transfer involving interband transitions, although variations in the size and material used in creating the QDs can enable resonance between the states in the electron-hole pair and a single charge carrier, as well as between electron or hole states. Thus, interdot energy transfer processes accompanying the intraband transitions can be induced by Coulomb coupling.…”

“…A simple analysis of the electron-electron interaction Hamiltonian for a double QD shows that these processes do exist and that they will manifest themselves through the modification of the optical properties of the double QD. For the incoherent energy transfer regime, 6,11 these processes result in line broadening and an intensity change in the optical spectra, e.g., either an increase or quenching of the luminescence. In the coherent energy transfer regime, 12 where the transfer rate overcomes the phase relaxation rate, the processes can lead to the appearance of fine structure in the optical spectra due to the quantum entanglement effect.…”