Study the energy states and absorption coefficients of quantum dots and quantum anti-dots with hydrogenic impurity under the applied magnetic field

Subject Areas : Journal of Optoelectronical Nanostructures

Fatemeh Rahimi ¹ (Department of Physics, Faculty of Sciences, Shiraz Branch, Islamic Azad University, Shiraz, Iran)
Tooraj Ghaffary ² (Department of Physics, Faculty of Sciences, Shiraz Branch, Islamic Azad University, Shiraz, Iran)
Yaghoob Naimi ³ (Department of Physics, Lamerd Higher Education Center, Lamerd, Iran)
Hadi Khajehazad ⁴ (Department of Physics, Faculty of Sciences, Shiraz Branch, Islamic Azad University, Shiraz, Iran)

Received: 2021-08-23 Accepted : 2021-11-23 Published : 2022-01-01

Keywords: Absorption Coefficient, Confinement potential, Degeneracy, Energy states,

Abstract :

In this work, the effect of magnetic field on
electronic spectra and absorption coefficient of 𝐺𝑎𝐴𝑠/
𝐺𝑎1−𝑥 𝐴𝑙𝑥𝐴𝑠 spherical quantum dot (QD) and
𝐺𝑎1−𝑥 𝐴𝑙𝑥𝐴𝑠/𝐺𝑎𝐴𝑠 spherical quantum anti-dot (QAD)
with hydrogenic impurity are reported both theoretically
and numerically. The theoretical results which are
obtained based on perturbation theory are in agreement
with numerical results, which are obtained by using the
finite difference method. Using numerical solutions,
energy eigenvalues and eigenfunctions of the Schrödinger
equation in these structures are obtained. The effects of
the magnetic field on1s→2p0 absorption coefficient and
also on 1s and 2p energy levels of the QD and the QAD
have been investigated. The wave functions and energies
of an electron in these spherical systems, have been
studied. The results clearly show that the energy levels
changes and absorption coefficients in the QD and QAD
models are significantly different. It is also observed
some new degeneracies are appeared in the QAD model
under the applied magnetic field.

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