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Issue: 2026: Natural Sciences Issue - Online First
Section: Natural Sciences Issue (Vietnamese)
DOI: 10.52714/dthu.ns.3547.2032
Date Published: 03/05/2026
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Nguyen, T. N. N., & Huynh, V. P. (2026). Optical absorption coefficient in spherical quantum dots with harmonic confinement potential. Chuyên san Khoa học Tự nhiên, Online First, 1-10. https://doi.org/10.52714/dthu.ns.3547.2032

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Optical absorption coefficient in spherical quantum dots with harmonic confinement potential

Thi Ngoc Nguyen Nguyen1, Vinh Phuc Huynh2,  
1 Trường Đại học Đồng Tháp
2 Dong Thap University

Main Article Content

Abstract

This paper focuses on investigating the optical absorption coefficient (OAC) in GaAs spherical quantum dots (SQDs) under the influence of a harmonic confinement potentia,. By applying the Nikiforov-Uvarov (NU) method, the Schrödinger equation is solved to obtain explicit analytical expressions for the electronic wave functions and energy spectra. Based on first-order time-dependent perturbation theory, the general expressions of the OAC for both intra-band and inter-band transitions have been established. Numerical results and graphical representations generated using Mathematica software indicate that the OAC is strongly dependent on the physical parameters of the system. Specifically, as the dot radius (r0​) increases, the peak absorption intensity significantly decreases due to shifts in the localization level of the wave function. Conversely, an increase in temperature (T) leads to an enhancement in absorption intensity following the Fermi-Dirac distribution. Notably, absorption peaks only emerge when the selection rule Δℓ=±1 is satisfied. The results also reveal that inter-band transitions occur at higher energy regions and possess intensities dozens of times greater than those of intra-band transitions. These findings provide a crucial theoretical basis for designing and optimizing modern optoelectronic devices, such as quantum dot lasers, sensors, and high-efficiency solar cells.

Keywords

Harmonic confinement potential, Nikiforov-Uvarov (NU) method, optical absorption coefficient (OAC), spherical quantum dot (SQD)

Article Details

References

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