ITP OpenIR  > 理论物理所2016年知识产出
Noncommutative Chern-Simons theory and exotic geometry emerging from the lowest Landau level
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.
2016
发表期刊PHYSICAL REVIEW D
卷号93期号:12页码:125005
文章类型Article
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.
学科领域Astronomy & Astrophysics ; Physics
资助者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] ; United States National Science Foundation [PHY-1068558] ; United States National Science Foundation [PHY-1068558] ; 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] ; United States National Science Foundation [PHY-1068558] ; United States National Science Foundation [PHY-1068558]
DOIhttp://dx.doi.org/10.1103/PhysRevD.93.125005
关键词[WOS]QUANTUM-MECHANICS ; HALL FLUIDS
收录类别SCI
语种英语
资助者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] ; United States National Science Foundation [PHY-1068558] ; United States National Science Foundation [PHY-1068558] ; 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] ; United States National Science Foundation [PHY-1068558] ; United States National Science Foundation [PHY-1068558]
WOS类目Astronomy & Astrophysics ; Physics, Particles & Fields
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/21628
专题理论物理所2016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
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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