Quantum Hall Effect In Bilayer Systems And The Noncommutative Plane: A Toy Model Approach

Details Quantum Hall Effect In Bilayer Systems And The Noncommutative Plane: A Toy Model Approach Quantum Hall Effect In Bilayer Systems And The Noncommutative Plane: A Toy Model Approach

2005-03-11

arxiv.org/abs/cond-mat/0503266v3

Phys.Lett. A346 (2005) 133-140

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Slightly expanded version, Eqs. (18) and (19) added, Conclusions unchanged, To appear in Phys.Lett.A

Scientific paper

10.1016/j.physleta.2005.07.061

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 $\theta$, and only if $\theta$ varies from layer to layer in the QH system.

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