The topological structure of the integral quantum Hall effect in magnetic semiconductor-superconductor hybrids |
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Authors: | Ren Ji-Rong and Zhu Hui |
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Institution: | Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China |
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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 $\beta$
and the Brouwer degree $\eta$. The Hall conductance topological
current and its evolution is discussed. |
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Keywords: | integral quantum Hall effect gauge potential Hopf index vortex |
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