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<p>A&#xa0;quantum dot is considered in the presence of an external magnetic field. The confining potential is proposed as a&#xa0;modified Gaussian model in addition to the position-dependent effective mass. The energy levels and wave functions of the system are analytically derived by solving the Schrödinger equation. Then, an analytical expression is derived for the coefficient of direct interband light absorption (ILA). Applying the expression, the threshold frequency of absorption (TFA) is analytically derived. This frequency is calculated for different parameters such as confining potential depth, external magnetic field, and a&#xa0;controlling parameter. According to the results, the system shows different ranges for the frequency depending on the system parameters. The frequency ranges include infrared, near-infrared, and radio waves. Also, for a&#xa0;weak magnetic field, the TFA is obtained in the petahertz (PHz) range, which can be used in wireless communications, industrial manufacturing environments, disinfecting water, etc.</p>

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Analytical prediction of absorption threshold frequency in quantum dots by considering the position-dependent effective mass

  • 期刊论文

  • 发表日期：

    2026年4月14日

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  • Reza Khordad,
  • Ali Hassan Bahamin Pili

摘要

A quantum dot is considered in the presence of an external magnetic field. The confining potential is proposed as a modified Gaussian model in addition to the position-dependent effective mass. The energy levels and wave functions of the system are analytically derived by solving the Schrödinger equation. Then, an analytical expression is derived for the coefficient of direct interband light absorption (ILA). Applying the expression, the threshold frequency of absorption (TFA) is analytically derived. This frequency is calculated for different parameters such as confining potential depth, external magnetic field, and a controlling parameter. According to the results, the system shows different ranges for the frequency depending on the system parameters. The frequency ranges include infrared, near-infrared, and radio waves. Also, for a weak magnetic field, the TFA is obtained in the petahertz (PHz) range, which can be used in wireless communications, industrial manufacturing environments, disinfecting water, etc.