Abstract
We analyze the effect that the interaction between electrons has on the properties of a multi-layer electron system. We consider the case corresponding to filling factor unity in each layer. In the case of an infinity superlattice, the system presents ferromagnetic, canted antiferromagnetic or paramagnetic interlayer spin correlations depending on the sample parameters. We have obtained that these three ground states are quantum Hall effect (QHE) phases, because of the existence of a finite activation energy. In the ferromagnetic phase the gap is due to the intrawell exchange energy, whereas in the paramagnetic phase the gap appears due to the spatial modulation of the interwell coherence. We have also studied the properties of multi-layer systems as a function of the number of electron sheets, NL. We find that the magnetic coupling of the electron layers depends strongly on the even/odd character of NL.
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