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Many-Body Effects and Bandgap Renormalization in H-Shaped Quantum Wires

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Nozari K., Akbari S., Fayeghi F., Mirzaie M.
Acta Physica Polonica A
|
2009
|
vol. 115
|
issue 3
721-731
EN
In this paper, bound states energies and corresponding wave functions of H-shaped quantum wires are calculated numerically in the presence of the external magnetic and electric fields. This analysis was done within the Landau gauge. With a suitable definition of the external confinement potential, we present a numerical algorithm to calculate the profile of the probability distribution of charge carriers. Our analysis shows that in the presence of the external electric and magnetic fields, bound state properties of the carriers are sensitive functions of an asymmetric parameter a= W_{x}/W_{y} which measures the relative width of the quantum well in two directions. We also study many-body effect of the bandgap renormalization in this quasi-one-dimensional system within the dynamical random phase approximation in its leading order.
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