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题名: Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level
作者: Luo, X ;  Wu, YS ;  Yu, Y
刊名: PHYSICAL REVIEW D
出版日期: 2016
卷号: 93, 期号:12, 页码:125005
学科分类: Astronomy & Astrophysics; Physics
DOI: http://dx.doi.org/10.1103/PhysRevD.93.125005
通讯作者: Luo, X (reprint author), Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
文章类型: Article
英文摘要: We relate the collective dynamic internal geometric degrees of freedom to the gauge fluctuations in nu = 1/m (m odd) fractional quantum Hall effects. In this way, in the lowest Landau level, a highly nontrivial quantum geometry in two-dimensional guiding center space emerges from these internal geometric modes. Using the Dirac bracket method, we find that this quantum geometric field theory is a topological noncommutative Chern-Simons theory. Topological indices, such as the guiding center angular momentum (also called the shift) and the guiding center spin, which characterize the fractional quantum Hall (FQH) states besides the filling factor, are naturally defined. A noncommutative K-matrix Chern-Simons theory is proposed as a generalization to a large class of Abelian FQH topological orders.
类目[WOS]: Astronomy & Astrophysics ;  Physics, Particles & Fields
关键词[WOS]: QUANTUM-MECHANICS ;  HALL FLUIDS
收录类别: SCI
项目资助者: 973 program of the MOST of China [2012CB821402] ;  NNSF of China [11174298, 11474061] ;  United States National Science Foundation [PHY-1068558]
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/21628
Appears in Collections:理论物理所2016年知识产出_期刊论文

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Recommended Citation:
Luo, X,Wu, YS,Yu, Y. Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level[J]. PHYSICAL REVIEW D,2016,93(12):125005.
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