中国物理B ›› 2005, Vol. 14 ›› Issue (2): 378-381.doi: 10.1088/1009-1963/14/2/027

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Composite particle and field theory in atomic quantum Hall effect

赵博, 陈增兵   

  1. Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
  • 收稿日期:2004-05-28 修回日期:2004-10-11 出版日期:2005-03-02 发布日期:2005-03-02
  • 基金资助:
    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.

Composite particle and field theory in atomic quantum Hall effect

Zhao Bo (赵博), Chen Zeng-Bing (陈增兵)   

  1. Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
  • Received:2004-05-28 Revised:2004-10-11 Online:2005-03-02 Published:2005-03-02
  • Supported by:
    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.

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摘要： 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.

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.

Key words: quantum Hall effect, composite particle, field theory

中图分类号:  (Theory and modeling)

  • 73.43.Cd
02.30.Rz (Integral equations)