| The Topological Structure of the SU（2） Chern-Simons Topological Current in the Four-Dimensional Quantum Hall Effect |
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| 引用本文： | 张修明,段一士.The Topological Structure of the SU（2） Chern-Simons Topological Current in the Four-Dimensional Quantum Hall Effect[J].中国物理快报,2010,27(7):229-232. |
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| 作者姓名： | 张修明 段一士 |
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| 作者单位： | [1]Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054 [2]Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under the Grant No 10705008. |
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| 摘 要： | In the light of the decomposition of the SU（2） gauge potential for I = 1/2, we obtain the SU（2） Chern-Simons current over S4, i.e. the vortex current in the effective field for the four-dimensional quantum Hall effect. Similar to the vortex excitations in the two-dimensional quantum Hall effect （2D FQH） which are generated from the zero points of the complex scalar field, in the 4D FQH, we show that the SU（2） Chern-Simons vortices are generated from the zero points of the two-component wave functions ψ, and their topological charges are quantized in terms of the Hopf indices and Brouwer degrees of Ф-mapping under the condition that the zero points of field ψ are regular points.
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| 关 键 词： | 量子霍尔效应 拓扑结构 陈省身 四维 Brouwer 作者 电流 量子涡旋 |
| 收稿时间： | 2009-12-21 |
The Topological Structure of the SU(2) Chern-Simons Topological Current in the Four-Dimensional Quantum Hall Effect |
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| ZHANG Xiu-Ming,DUAN Yi-Shi.The Topological Structure of the SU(2) Chern-Simons Topological Current in the Four-Dimensional Quantum Hall Effect[J].Chinese Physics Letters,2010,27(7):229-232. |
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| Authors: | ZHANG Xiu-Ming DUAN Yi-Shi |
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| Institution: | Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054 Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000 |
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| Abstract: | |
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| Keywords: | 73 43 -f 11 15 -q 02 40 Pc |
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