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

B. Basu·Subir Ghosh
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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 $θ$, and only if $θ$ varies from layer to layer in the QH system.

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B. Basu, Subir Ghosh. 2005-07-19. Quantum Hall Effect In Bilayer Systems And The Noncommutative Plane: A Toy Model Approach. https://doi.org/10.1016/j.physleta.2005.07.061

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