1998
DOI: 10.1088/0953-8984/10/6/017
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Confinement of excitons in spherical quantum dots

Abstract: The ground-state energy of excitons confined in microspherical crystallites with a finite-height potential wall is studied variationally as a function of the particle radius in the so-called strong-confinement regime. Exciton energies for dot radii in the range 5-40 Å are calculated and compared with experimental and theoretical data for CdS, CdSe, PbS and CdTe crystallites. This comparison shows that the effective-mass approximation and spherical confinement geometries are appropriate for all of the particle … Show more

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Cited by 77 publications
(57 citation statements)
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“…Since our quantum dot has smaller size and is confined in all three directions, the exciton binding energy can be expected to be much larger than the bulk exciton binding energy in ZnSe. 14, 15 We thus conclude that the observed activation energy is the exciton binding energy in ZnSe quantum dot.…”
mentioning
confidence: 64%
“…Since our quantum dot has smaller size and is confined in all three directions, the exciton binding energy can be expected to be much larger than the bulk exciton binding energy in ZnSe. 14, 15 We thus conclude that the observed activation energy is the exciton binding energy in ZnSe quantum dot.…”
mentioning
confidence: 64%
“…These effects cause a marked increase in the electron-hole attraction inside them; in consequence, the correlated electron-hole pairs (excitons) continue to exist even at room temperature. Quantum confinement produces important changes in the optical properties of QDs compared to those of bulk material; Wannier exciton transitions are responsible for many of these changes [2][3][4][5][6].…”
Section: Introductionmentioning
confidence: 99%
“…He used a single-band effective-mass approximation for the electrons, and the confinement potentials for the hole and electron were modeled as spherically symmetric potential wells with a finite barrier height, finding a high degree of correlation with experimental data. Marín et al [6] used the approximation of the effective mass for a variational method using 1s-hydrogen-like wavefunctions and finite-height potentials for the exciton's confinement and calculated the ground-state energy for the exciton.…”
Section: Introductionmentioning
confidence: 99%
“…The experimental and theoretical work related to the optical and electrical study of the properties of quantum dots modelled as pyramids is intense [4][5][6][7][8]. They have also been modelled as quantum disks [9,10] and spherical quantum dots [11][12][13]. Nevertheless, under certain growing conditions, these quantum dots have proven to have lens shape geometry characterized by a spherical cap [14][15][16][17][18][19].…”
Section: Introductionmentioning
confidence: 99%