中国物理B ›› 2009, Vol. 18 ›› Issue (6): 2535-2541.doi: 10.1088/1674-1056/18/6/069

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

任继荣, 朱辉   

  1. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
  • 收稿日期:2008-09-16 修回日期:2008-12-18 出版日期:2009-06-20 发布日期:2009-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10275030).

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)†   

  1. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
  • Received:2008-09-16 Revised:2008-12-18 Online:2009-06-20 Published:2009-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10275030).

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摘要： 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 η. The Hall conductance topological current and its evolution is discussed.

关键词: integral quantum Hall effect, gauge potential, Hopf index, vortex

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.

Key words: integral quantum Hall effect, gauge potential, Hopf index, vortex

中图分类号:  (Theory and modeling)

  • 73.43.Cd
73.63.Hs (Quantum wells) 74.78.Fk (Multilayers, superlattices, heterostructures)