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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.
K. H Aharonyan
"Dielectric response function of a quasi-two-dimensional electron gas in a finite confining potential semiconductor quantum well", Proc. SPIE 7998, International Conference on Laser Physics 2010, 79981D (4 March 2011); https://doi.org/10.1117/12.890977
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K. H Aharonyan, "Dielectric response function of a quasi-two-dimensional electron gas in a finite confining potential semiconductor quantum well," Proc. SPIE 7998, International Conference on Laser Physics 2010, 79981D (4 March 2011); https://doi.org/10.1117/12.890977