Physical Review B, volume 38, issue 14, pages 9797-9805

Quantum-size effects of interacting electrons and holes in semiconductor microcrystals with spherical shape.

Publication typeJournal Article
Publication date1988-11-15
Quartile SCImago
Q1
Quartile WOS
Q2
Impact factor3.7
ISSN24699950, 24699969, 10980121, 1550235X
Abstract
Quantum-size effects of an electron-hole system confined in microcrystals of semiconductors are studied theoretically with the spherical-dielectric continuum model. An extensive numerical calculation for the eigenvalue problem is carried out by Ritz's variational technique. The motional state of the lowest level is classified into three regimes: the regime of exciton confinement for R/${a}_{B}^{\mathrm{*}}$\ensuremath{\gtrsim}4, the regime of individual particle confinement for R/${a}_{B}^{\mathrm{*}}$\ensuremath{\lesssim}2, and the intermediate regime for 2\ensuremath{\lesssim}R/${a}_{B}^{\mathrm{*}}$\ensuremath{\lesssim}4, where R is the radius of the quantum well and ${a}_{B}^{\mathrm{*}}$ is the exciton Bohr radius. In the region R/${a}_{B}^{\mathrm{*}}$\ensuremath{\gtrsim}4, the high-energy shift of the lowest exciton state is described by the rigid-sphere model of the exciton quite well, which takes into account the spatial extension of the relative motion of the electron and the hole. The oscillator strength of the interband optical transition changes dramatically across the region 2\ensuremath{\lesssim}R/${a}_{B}^{\mathrm{*}}$\ensuremath{\lesssim}4. The metamorphosis of the absorption spectrum is shown as a function of R/${a}_{B}^{\mathrm{*}}$ and compared with the experimental data.

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Kayanuma Y. Quantum-size effects of interacting electrons and holes in semiconductor microcrystals with spherical shape. // Physical Review B. 1988. Vol. 38. No. 14. pp. 9797-9805.
GOST all authors (up to 50) Copy
Kayanuma Y. Quantum-size effects of interacting electrons and holes in semiconductor microcrystals with spherical shape. // Physical Review B. 1988. Vol. 38. No. 14. pp. 9797-9805.
RIS |
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RIS Copy
TY - JOUR
DO - 10.1103/PhysRevB.38.9797
UR - https://doi.org/10.1103/PhysRevB.38.9797
TI - Quantum-size effects of interacting electrons and holes in semiconductor microcrystals with spherical shape.
T2 - Physical Review B
AU - Kayanuma, Yosuke
PY - 1988
DA - 1988/11/15 00:00:00
PB - American Physical Society (APS)
SP - 9797-9805
IS - 14
VL - 38
SN - 2469-9950
SN - 2469-9969
SN - 1098-0121
SN - 1550-235X
ER -
BibTex |
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BibTex Copy
@article{1988_Kayanuma,
author = {Yosuke Kayanuma},
title = {Quantum-size effects of interacting electrons and holes in semiconductor microcrystals with spherical shape.},
journal = {Physical Review B},
year = {1988},
volume = {38},
publisher = {American Physical Society (APS)},
month = {nov},
url = {https://doi.org/10.1103/PhysRevB.38.9797},
number = {14},
pages = {9797--9805},
doi = {10.1103/PhysRevB.38.9797}
}
MLA
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MLA Copy
Kayanuma, Yosuke. “Quantum-size effects of interacting electrons and holes in semiconductor microcrystals with spherical shape..” Physical Review B, vol. 38, no. 14, Nov. 1988, pp. 9797-9805. https://doi.org/10.1103/PhysRevB.38.9797.
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