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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.
Acta Physica Polonica A
|
2004
|
vol. 106
|
issue 3
355-366
EN
Neutral and charged excitonic complexes formed in integral and fractional quantum Hall systems are discussed. They are bound states of a small number of charged quasiparticles (e.g., conduction electrons and valence holes, reversed-spin electrons and spin holes, Laughlin quasielectrons and quasiholes, composite fermions) that occur in an electron system under specific conditions (electron density, well width, electric and magnetic fields, etc.). The examples are interband neutral and charged excitons, "anyon excitons", spin waves, skyrmions, and "skyrmion excitons". Their possible decay processes include radiative recombination, experimentally observed in photoluminescence or far infrared emission, or spin transitions, important in the context of nuclear spin relaxation.
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