ITP OpenIR  > SCI期刊论文
Luo, X; Wu, YS; Yu, Y; Luo, X (reprint author), Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level
Source PublicationPHYSICAL REVIEW D
Language英语
AbstractWe 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.
2016
Volume93Issue:12Pages:125005
Subject AreaAstronomy & Astrophysics ; Physics
DOIhttp://dx.doi.org/10.1103/PhysRevD.93.125005
Indexed BySCI
Funding Organization973 program of the MOST of China [2012CB821402] ; 973 program of the MOST of China [2012CB821402] ; 973 program of the MOST of China [2012CB821402] ; 973 program of the MOST of China [2012CB821402] ; NNSF of China [11174298, 11474061] ; NNSF of China [11174298, 11474061] ; NNSF of China [11174298, 11474061] ; NNSF of China [11174298, 11474061] ; United States National Science Foundation [PHY-1068558] ; United States National Science Foundation [PHY-1068558] ; United States National Science Foundation [PHY-1068558] ; United States National Science Foundation [PHY-1068558]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21628
CollectionSCI期刊论文
Corresponding AuthorLuo, X (reprint author), Chinese Acad Sci, Inst Theoret Phys, Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Luo, X,Wu, YS,Yu, Y,et al. Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level[J]. PHYSICAL REVIEW D,2016,93(12):125005.
APA Luo, X,Wu, YS,Yu, Y,&Luo, X .(2016).Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level.PHYSICAL REVIEW D,93(12),125005.
MLA Luo, X,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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