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Dielectric response function of a quasi-two-dimensional electron gas in a finite confining potential semiconductor quantum well

机译:有限约束势半导体量子阱中准二维电子气的介电响应函数

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The spatial and time dependencies of the dielectric function for the quasi-two dimensional (Q2D) electron gas (EG) in a finite confining potential quantum well (QW) are calculated by using a self-consistent approach (SQF). Taking into account the influences of mismatch of strong discontinuous dielectric constant and effective masse across the interfaces the dielectric response function analytic expressions are derived for a rectangular finite potential barrier QW for the first time. The deviations from the results when these mismatches are absent are established. By using exactly calculated dielectric function a comparison with the respective asymptotic expressions of finite and infinite confining models is presented both analytically and numerically on the base of realistic EuS/PbS/EuS QW. The transition interval between 2D and 3D cases has been demonstrated numerically.
机译:通过使用自洽方法(SQF)计算了有限约束势能量子阱(QW)中准二维(Q2D)电子气(EG)的介电函数的空间和时间依赖性。考虑到界面上强不连续介电常数和有效质量不匹配的影响,首次针对矩形有限势垒QW推导了介电响应函数解析表达式。当不存在这些不匹配时,确定与结果的偏差。通过使用精确计算的介电函数,在实际EuS / PbS / EuS QW的基础上,通过解析和数值方法与有限和无限约束模型的各自渐近表达式进行了比较。 2D和3D情况之间的过渡间隔已通过数值得到了证明。

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