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.
Received: 16 September 2008
Revised: 18 December 2008
Accepted manuscript online:
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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