%0 Journal Article
%T The Topological Structure of the SU(2) Chern-Simons Topological Current in the Four-Dimensional Quantum Hall Effect<br>The Topological Structure of the SU（2） Chern-Simons Topological Current in the Four-Dimensional Quantum Hall Effect
%A ZHANG Xiu-Ming
%A DUAN Yi-Shi
%A <br>张修明
%A 段一士
%J 中国物理快报
%D 2010
%I 
%X 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 Φ-mapping under the condition that the zero points of field Ψ are regular points.
%K 73
%K 43
%K -f
%K 11
%K 15
%K -q
%K 02
%K 40
%K Pc<br>量子霍尔效应
%K 拓扑结构
%K 陈省身
%K 四维
%K Brouwer
%K 作者
%K 电流
%K 量子涡旋
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=2326519B47B1D0BEC2D2A319456A84E9&yid=140ECF96957D60B2&vid=DB817633AA4F79B9&iid=DF92D298D3FF1E6E&sid=F8035C8B7D8A4264&eid=E1D946F217E3B046&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=39