The Analytical Effects of a Hydrostatic Pressure on the Ground State Energy of GaAs Quantum Dot at Low-Temperature: Algebraic Method

Физика и техника полупроводников Pub Date : 2022-01-01 DOI:10.21883/ftp.2022.10.53959.9847

F. S. Nammas, E. H. Hasan

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Abstract

This analytical study focused on discussing the collective effects of hydrostatic pressure and temperature on the ground state energy for two electrons trapped in GaAs parabolic quantum dot in the presence of a magnetic field using the effective mass approximation. The electronic interaction was approximated by the Johnson-Payne potential model, where its parameters were carefully chosen to match the Coulomb interaction. It is noted that the ground state energy decreases with an increment in pressure while it increases linearly slightly with increasing temperature. As is customary, it was found that ground state energy decreases with increasing dot size and reach its bulk value as the dot becomes wider. Among the most prominent notes related to this study were as follows: (i) The largest contribution to the total ground state energy is caused by the relative motion since the effect of pressure on this part is more pronounced than the part of the center of mass that often does not feel the presence of pressure. (ii) Ground state energy shows temperature insensitivity while pressure exerts a tangible effect on the ground state energy in the strong magnetic field confinement. (iii) The effect of temperature on the ground state energy is always the opposite of the pressure effect. (iv) With regard to the increase in pressure, it was found that it reduces the electron separation (r), therefore the ground state energy decreases in the presence of the harmonic interaction that is directly proportional to the square of r, but compared to previous works mentioned in the literature, energy showed increased behavior because Coulomb's interaction is inversely proportional to the electron separation. (v) In the region of weak confinement (R>aB*), the effect of pressure on ground state energy becomes neglected, while this effect becomes noticeable in the region of ??strong confinement (R

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静水压力对低温下GaAs量子点基态能的解析影响:代数方法

本文利用有效质量近似讨论了静水压力和温度对在磁场作用下被困在GaAs抛物量子点中的两个电子基态能量的集体影响。电子相互作用用Johnson-Payne势模型近似，其中的参数被精心选择以匹配库仑相互作用。基态能量随压力的增加而减小，随温度的升高而略有线性增加。通常，发现基态能量随着点尺寸的增大而减小，随着点的变宽而达到其体积值。与本研究相关的最突出的注释如下:(i)相对运动对总基态能量的贡献最大，因为压力对这部分的影响比质心通常感觉不到压力的部分更明显。(ii)在强磁场约束下，基态能对温度不敏感，而压力对基态能有明显的影响。(3)温度对基态能量的影响总是与压力效应相反。(iv)对于压力的增加，我们发现它降低了电子的分离(r)，因此基态能量在与r的平方成正比的谐波相互作用下降低，但与之前文献中提到的工作相比，由于库仑相互作用与电子的分离成反比，能量表现出增加的行为。(v)在弱约束区(R>aB*)，压力对基态能量的影响被忽略，而在??强约束(R

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