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	Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level
	Yu, Y; Luo, X; Wu, YS; Luo, X (reprint author), Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
刊名	PHYSICAL REVIEW D
	2016
卷号	93期号:12页码:125005
DOI	http://dx.doi.org/10.1103/PhysRevD.93.125005
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.
学科主题	Astronomy & Astrophysics ; Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/21628]
专题	理论物理研究所_理论物理所1978-2010年知识产出
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.
推荐引用方式 GB/T 7714	Yu, Y,Luo, X,Wu, YS,et al. Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level[J]. PHYSICAL REVIEW D,2016,93(12):125005.
APA	Yu, Y,Luo, X,Wu, YS,&Luo, X .(2016).Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level.PHYSICAL REVIEW D,93(12),125005.
MLA	Yu, Y,et al."Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level".PHYSICAL REVIEW D 93.12(2016):125005.

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