Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level
文献类型：期刊论文
| 作者 | 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.
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| 刊名 | PHYSICAL REVIEW D
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| 出版日期 | 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 |
| 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. |
入库方式： OAI收割
来源：理论物理研究所
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