Knowledge Management System of Institute of Theoretical Physics, CAS
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.
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| Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level | |
| Source Publication | PHYSICAL REVIEW D
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| Language | 英语 |
| Abstract | 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. |
| 2016 | |
| Volume | 93Issue:12Pages:125005 |
| Subject Area | Astronomy & Astrophysics ; Physics |
| DOI | http://dx.doi.org/10.1103/PhysRevD.93.125005 |
| Indexed By | SCI |
| Funding Organization | 973 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] |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/21628 |
| Collection | SCI期刊论文 |
| Corresponding Author | Luo, 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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| Noncommutative Chern（208KB） | 开放获取 | -- | Application Full Text | |||
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