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Chin. Phys. B, 2009, Vol. 18(6): 2535-2541    DOI: 10.1088/1674-1056/18/6/069
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev   Next  

The topological structure of the integral quantum Hall effect in magnetic semiconductor-superconductor hybrids

Ren Ji-Rong(任继荣) and Zhu Hui(朱辉)
Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
Abstract  An unconventional integer quantum Hall regime was found in magnetic semiconductor-superconductor hybrids. By making use of the decomposition of the gauge potential on a U(1) principal fibre bundle over k-space, we study the topological structure of the integral Hall conductance. It is labeled by the Hopf index β and the Brouwer degree $\eta$. The Hall conductance topological current and its evolution is discussed.
Keywords:  integral quantum Hall effect      gauge potential      Hopf index      vortex  
Received:  16 September 2008      Revised:  18 December 2008      Accepted manuscript online: 
PACS:  73.43.Cd (Theory and modeling)  
  73.63.Hs (Quantum wells)  
  74.25.Fy  
  74.78.Fk (Multilayers, superlattices, heterostructures)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10275030).

Cite this article: 

Ren Ji-Rong(任继荣) and Zhu Hui(朱辉) The topological structure of the integral quantum Hall effect in magnetic semiconductor-superconductor hybrids 2009 Chin. Phys. B 18 2535

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