Quantum Hall effect in bilayer systems and the noncommutative plane: A toy model approach

被引：34

作者：

Basu, B ^{[1
]}

Ghosh, S ^{[1
]}

机构：

[1] Indian Stat Inst, Phys & Appl Math Unit, Kolkata 700108, India

来源：

PHYSICS LETTERS A | 2005年 / 346卷 / 1-3期

关键词：

D O I：

10.1016/j.physleta.2005.07.061

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 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. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：133 / 140

页数：8

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