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arXiv 0803.0826hep-thcond-mat.mes-hall
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量子Hall态的层次结构与非对易Chern-Simons理论

Hierarchy Construction of Quantum Hall States and Non-Commutative Chern-Simons Theory

Zhao-Long Wang, Wei Huang, Mu-Lin Yan

摘要:

本文研究了量子Hall态的非对易Chern-Simons描述。我们的方法是基于Susskind在hep-th/0101029中提出的框架。利用准粒子流体的面积保持规范对称性规范对称性,我们证明了在Susskind方法中可以实现具有一般填充分数的量子Hall态的层次结构的非对易Chern-Simons描述.讨论了该模型与量子霍尔态的有效场论的关系。

英文摘要:

In this paper, we study the non-commutative Chern-Simons description of the hierarchy of quantum Hall states. Our method is based on the framework suggested by Susskind in hep-th/0101029. By using the area preserving diffeomorphism gauge symmetry of quasiparticle fluid, we show that non-commutative Chern-Simons description of the hierarchy construction of quantum Hall states with generic filling fraction can be realized in Susskind's approach. The relationship between our model and the pervious work on the effective field theory of quantum Hall states is also discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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