YARIMO‘TKAZGICH KVANT NUQTALARIDAGI ELEKTRON HOLATLAR VA OPTIK XUSUSIYATLARNING NAZARIY TAHLILI
Keywords:
kvant nuqta, kvant cheklanishi, elektron holatlar, eksiton, fotolyuminessensiya, effektiv massa, yadro-qobiq, optoelektronika.Abstract
Maqolada yarimo‘tkazgich kvant nuqtalaridagi elektron holatlar va optik javobning o‘lcham, material parametrlari hamda sirt holatlariga bog‘liqligi nazariy jihatdan tahlil qilinadi. Kvant nuqta uch o‘lchamda tashuvchilarni cheklovchi nol o‘lchamli geterotuzilma sifatida qaraladi; bunday cheklanish uzluksiz zonalar o‘rniga diskret sathlarning shakllanishiga olib keladi. Effektiv massa yaqinlashuvi va eksiton Kulon tuzatmasiga tayangan hisobiy sxema CdSe-tipidagi sferik nuqtalar uchun qo‘llanildi. Radius 2,0 nm dan 4,0 nm gacha oshganda optik o‘tish energiyasi 2,54 eV dan 1,91 eV gacha kamayishi, mos ravishda yutilish va nurlanish qirrasi uzunroq to‘lqinlarga siljishi ko‘rsatildi. Natijalar R^-2 qonunli kvant-cheklanish hadi kichik o‘lchamlarda ustun ekanini, elektron-teshik tortishuvi esa energiyani pasaytiruvchi R^-1 tuzatma berishini ko‘rsatadi. Sirt tuzoqlari, dielektrik nomuvofiqlik, shakl anizotropiyasi va yadro-qobiq arxitekturasi nurlanish samaradorligini belgilovchi ikkilamchi, ammo muhim omillar sifatida muhokama qilinadi. Ishning amaliy qiymati QLED, fotodetektor, lazer va bir fotonli manbalarda spektral javobni maqsadli loyihalash mezonlarini umumlashtirishidadir.
References
1.Alivisatos, A. P. (1996). Perspectives on the physical chemistry of semiconductor nanocrystals. Journal of Physical Chemistry, 100(31), 13226–13239. https://doi.org/10.1021/jp9535506
2.Klimov, V. I. (Ed.). (2010). Nanocrystal quantum dots (2nd ed.). CRC Press.
Harrison, P., & Valavanis, A. (2016). Quantum wells, wires and dots: Theoretical and computational physics of semiconductor nanostructures (4th ed.). Wiley.
MAQOLALAR
1.Bawendi, M. G., Steigerwald, M. L., & Brus, L. E. (1990). The quantum mechanics of larger semiconductor clusters (“quantum dots”). Annual Review of Physical Chemistry, 41, 477–496. https://doi.org/10.1146/annurev.pc.41.100190.002401
2.Brus, L. E. (1984). Electron–electron and electron–hole interactions in small semiconductor crystallites: The size dependence of the lowest excited electronic state. The Journal of Chemical Physics, 80(9), 4403–4409. https://doi.org/10.1063/1.447218
3.Dabbousi, B. O., Rodriguez-Viejo, J., Mikulec, F. V., Heine, J. R., Mattoussi, H., Ober, R., Jensen, K. F., & Bawendi, M. G. (1997). (CdSe)ZnS core-shell quantum dots: Synthesis and characterization of a size series of highly luminescent nanocrystallites. Journal of Physical Chemistry B, 101(46), 9463–9475. https://doi.org/10.1021/jp971091y
4.Efros, A. L., & Efros, A. L. (1982). Interband absorption of light in a semiconductor sphere. Soviet Physics Semiconductors, 16, 772–775.
5.Kagan, C. R., Murray, C. B., & Bawendi, M. G. (1996). Long-range resonance transfer of electronic excitations in close-packed CdSe quantum-dot solids. Physical Review B, 54(12), 8633–8643. https://doi.org/10.1103/PhysRevB.54.8633
6.Klimov, V. I. (2007). Spectral and dynamical properties of multiexcitons in semiconductor nanocrystals. Annual Review of Physical Chemistry, 58, 635–673. https://doi.org/10.1146/annurev.physchem.58.032806.104537
7.Liu, M., Yazdani, N., Yarema, M., Jansen, M., Wood, V., & Sargent, E. H. (2021). Colloidal quantum dot electronics. Nature Electronics, 4, 548–558. https://doi.org/10.1038/s41928-021-00632-7
8.Marzin, J.-Y., Gérard, J.-M., Izraël, A., Barrier, D., & Bastard, G. (1994). Photoluminescence of single InAs quantum dots obtained by molecular beam epitaxy. Physical Review Letters, 73(5), 716–719. https://doi.org/10.1103/PhysRevLett.73.716
9.Mittelstädt, A., Schliwa, A., & Klenovský, P. (2022). Modeling electronic and optical properties of III–V quantum dots—selected recent developments. Light: Science & Applications, 11, 17. https://doi.org/10.1038/s41377-021-00700-9
10.Murray, C. B., Norris, D. J., & Bawendi, M. G. (1993). Synthesis and characterization of nearly monodisperse CdE (E = sulfur, selenium, tellurium) semiconductor nanocrystallites. Journal of the American Chemical Society, 115(19), 8706–8715. https://doi.org/10.1021/ja00072a025
INTERNET MANBALAR:
1.Li, B., Chen, F., Xu, H., et al. (2024). Advances in understanding quantum dot light-emitting diodes. Nature Reviews Electrical Engineering, 1, 412–425. https://doi.org/10.1038/s44287-024-00059-0 (murojaat qilingan sana: 12.10.2026).
2.Liu, M., et al. (2021). Colloidal quantum dot electronics. Nature Electronics. https://www.nature.com/articles/s41928-021-00632-7 (murojaat qilingan sana: 12.10.2026).
Mittelstädt, A., Schliwa, A., & Klenovský, P. (2022). Modeling electronic and optical properties of III–V quantum dots. Light: Science & Applications. https://www.nature.com/articles/s41377-021-00700-9 (murojaat qilingan sana: 12.10.2026).
