“…When compared with single QRs, these ring complexes open a new promising route, foreseen by the use of novel ring geometries, to the measurement of quantum interference effects [23,24]. A series of recent works have addressed their electronic properties [25][26][27][28][29][30] and far-infrared response [31,32]. It has been shown for example that the energy spectrum of a system of two concentric coupled rings, with similar confinement length, corresponds roughly to the superposition of the spectra of two independent rings, although interesting anti-crossings among different states of the individual rings -with the same angular momentum -can be observed [26].…”
The linear and nonlinear intra-band optical absorption coefficients in GaAs/Ga 1 À x Al x As two-dimensional concentric double quantum rings are investigated. Taking into account the combined effects of hydrostatic pressure and aluminum concentration the energies of the ground ðn ¼ 1, l ¼ 0Þ and the first excited state ðn ¼ 2, l ¼ 1Þ have been found using the effective mass approximation and the transfer matrix formalism. The energies of these states and the corresponding threshold energy of the intraband optical transitions are examined as a function of hydrostatic pressure and aluminum concentration for different sizes of the structure. We also investigated the dependencies of the linear, nonlinear, and total optical absorption coefficients as functions of the incident photon energy for different values of hydrostatic pressure, aluminum concentration, sizes of the structure, and incident optical intensity. Its is found that the effects of the hydrostatic pressure and the aluminum concentration lead to a shifting of the resonant peaks of the intra-band optical spectrum.
“…When compared with single QRs, these ring complexes open a new promising route, foreseen by the use of novel ring geometries, to the measurement of quantum interference effects [23,24]. A series of recent works have addressed their electronic properties [25][26][27][28][29][30] and far-infrared response [31,32]. It has been shown for example that the energy spectrum of a system of two concentric coupled rings, with similar confinement length, corresponds roughly to the superposition of the spectra of two independent rings, although interesting anti-crossings among different states of the individual rings -with the same angular momentum -can be observed [26].…”
The linear and nonlinear intra-band optical absorption coefficients in GaAs/Ga 1 À x Al x As two-dimensional concentric double quantum rings are investigated. Taking into account the combined effects of hydrostatic pressure and aluminum concentration the energies of the ground ðn ¼ 1, l ¼ 0Þ and the first excited state ðn ¼ 2, l ¼ 1Þ have been found using the effective mass approximation and the transfer matrix formalism. The energies of these states and the corresponding threshold energy of the intraband optical transitions are examined as a function of hydrostatic pressure and aluminum concentration for different sizes of the structure. We also investigated the dependencies of the linear, nonlinear, and total optical absorption coefficients as functions of the incident photon energy for different values of hydrostatic pressure, aluminum concentration, sizes of the structure, and incident optical intensity. Its is found that the effects of the hydrostatic pressure and the aluminum concentration lead to a shifting of the resonant peaks of the intra-band optical spectrum.
“…29 Also, it should be observable in the FIR response of these systems. 26 Very recently, GaAs/AlGaAs multiple-from triple to quintuple-concentric quantum ring structures have been fabricated by droplet epitaxy techniques and characterized by reflection high-energy electron-diffraction and atomic force microscopy techniques. 30 Motivated by this work, we have employed the local-spin density-functional theory ͑LSDFT͒, also termed LSDA, to anticipate some properties of the ground state and the dipole response of strictly twodimensional triple concentric QRs ͑TCQRs͒.…”
Within local-spin density-functional theory, we study the ground state and infrared response of twodimensional, triple concentric quantum ring nanostructures. Changes in their physical properties are presented as a function of the number of electrons or the intensity of a perpendicularly applied magnetic field. We discuss the addition spectrum of few-electron triple quantum rings at zero magnetic field, as well as the physical appearance of the ground state and dipole response of selected systems containing up to 50 electrons. We also investigate the ground state, persistent currents, and charge-and spin-density responses of a system made of 30 electrons.
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