We study, within the Hartree approximation, the effects of the
electron-electron interaction on the energy spectrum of a two-dimensional
electron gas in a perpendicular homogeneous magnetic field and a lateral
superlattice potential with square symmetry. Due to the strong screening
effects, the bandwidth of the Landau bands oscillates strongly with their
filling. For short enough periods and strong enough modulation of the
superlattice potential, the miniband structure of the Landau bands can be
resolved in the thermodynamic density of states.Comment: 14 pages and 9 postscript figure
The authors apply the generalized master equation to analyze timedependent transport through a finite quantum wire with an embedded subsystem. The parabolic quantum wire and the leads with several subbands are described by a continuous model. We use an approach originally developed for a tight-binding description selecting the relevant states for transport around the bias-window defined around the values of the chemical potential in the left and right leads in order to capture the effects of the nontrivial geometry of the system in the transport. We observe a partial current reflection as a manifestation of a quasi-bound state in an embedded well and the formation of a resonance state between an off-set potential hill and the boundary of the system.
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