Abstract In this paper, we explore the composite particle description of the atomic quantum Hall (QH) effect. We further give the Chern—Simon—Gross—Pitaevskii (CSGP) effective theory for the atomic Hall liquid, which is the counterpart of Chern—Simon theory in electron Hall effect. What we obtained is equivalent to the Laughlin wavefunction approach. Our results show that in terms of composite particles, the atomic Hall effect is really the same as the electronic QH effect. The CSGP effective theory would shed new light on the atomic QH effect.
Received: 28 May 2004
Revised: 11 October 2004
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10104014), the Fok Ying Tung Education Foundation (Grant No 91011) and the Chinese Academy of Sciences.
Cite this article:
Zhao Bo (赵博), Chen Zeng-Bing (陈增兵) Composite particle and field theory in atomic quantum Hall effect 2005 Chinese Physics 14 378
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