Quantum Hall Effect In Bilayer Systems And The Noncommutative Plane: A Toy Model Approach
arXiv:cond-mat/0503266 · doi:10.1016/j.physleta.2005.07.061
Abstract
We have presented a quantum mechanical toy model for the study of Coulomb interactions in Quantum Hall (QH) system. Inclusion of Coulomb interaction is essential for the study of {\it{bilayer}} QH system and our model can simulate it, in the compound state, in a perturbative framework. We also show that in the noncommutative plane, the Coulomb interaction is modified at a higher order in the noncommutativity parameter , and only if varies from layer to layer in the QH system.
Slightly expanded version, Eqs. (18) and (19) added, Conclusions unchanged, To appear in Phys.Lett.A